simplify √ 18 + √ 20 - √ 45

Answers

Answer 1

Answer:

3√2 - 4√5 -

ig this is the answer

Answer 2

Answer:

3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

---------------------------

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

------------------------

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]

= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]


Related Questions

PLEASE HELP GIVING BRAINLIEST

Answers

Answer:

x=16.9+34.6

x=51.5

.............................

[tex]x - 16.9 = 34.6 \\ x = 34.6 + 16.9 \\ x = 51.5[/tex]

- BRAINLIEST answerer

Which general rule should you follow as you collect variable terms on one side of an equation?

Answers

Answer:

You should always Use addition or subtraction to separate the variable on one side of a equation.

Step-by-step explanation:

What is the slope of this line?
A - 1/5
B 5
C -5
D 1/5

Answers

Answer:

It is 1/5

Step-by-step explanation:

rise/run and it rises by one and runs by 5.

each table shows a proportional relatioship. fill in the missing values and determine k.

Answers

Answer:

what table ..............there is no table

What is the perimeter of rectangle CDEF?

Answers

Answer: its sixty-nine

Step-by-step explanation:its my lucky number

Why is the square root of 25 a rational number?

Answers

Answer:

A rational number can be expressed as a fraction.

√25 = 5 and 5 can be written in the form of a fraction 5/1.

Hope this helps :)

Because it divides out evenly and is not negative

what is the answer??

Answers

Answer:

D) 39

Step-by-step explanation:

There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.

First step, find g(8):

g(x) = 3x - 2

When x = 8,

g(8) = 3(8) - 2

Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:

g(8) = (3 * 8) - 2

g(8) = (24) - 2

g(8) = 22

Next step, find g(-5):

g(x) = 3x - 2

g(-5) = 3(-5) - 2

g(-5) = (3 * -5) - 2

g(-5) = (-15) - 2

g(-5) = -17

Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:

22 - (-17) = 22 + 17 = 39

D) 39 is your answer.

~

What is meaning of irrational exponents.

Answers

Answer:

Here

Step-by-step explanation:

Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.

What is the value of n.
n
30°
E
973
???

Answers

Answer:

13.5

Step-by-step explanation:

use soh cah toa

cos 30 × 9√3= n

Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?

Answers

Answer:

37/40

Step-by-step explanation:

                                      3/8                              7/10

      80/40                   -       15/40              -          28/40                   =  37/40

two whole shampoo  -      uses at home    -      uses on holiday     =  left

Which graph is right?

Answers

Answer:

B

Step-by-step explanation:

A "or equal to" sign always contains a black colored in circle... With it's pointy end pointing at which direction it is being located.

Write an algebraic expression for each phrase

Let n represent am unknown number…

Q1) The sum of five times a number and six ______

Answers

Answer:

5n + 6

Step-by-step explanation:

Let n represent am unknown number

Q1) The sum of five times a number and six:

5n + 6

Let n represent an unknown number.

Five times a number=5nAnd six =6

The expression is

5n+6

BRAINLIEST
can I get some help on this

Answers

Answer:

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

Step-by-step explanation:

REMEMBER SOHCAHTOA (Sin=Opp./Hyp., Cos=Adj./Hyp., Tan=Opp./Adj.)

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

0.125 ultiply by 1000

Answers

Answer:

125 is answer .........:)

Find the value of 15/4 ÷ 5/8

Answers

Answer:6

Step-by-step explanation:

when dividing by a fraction. you can multiply by its reciprical

15/4 *8/5

(15*8)/(4*5)

120/20

If you need to simplify

6

EDIT: answer above got this right before me. for some reason I did 8*5 as 30  :/

The population of a city is growing every year at 8% if the present population is 2,62,236 then how much was the population two years ago

Answers

Answer:

THIS THE ANSWER OF YOUR QUESTION. ☜☆☞

MARK ME AS A BRAINLIST PLZ

Simplify the expression -3/(-2/5)

Answers

-3/(-2/5) = -3 * (5/-2)=15/2=7.5

Answer:

im new but im pretty sure its 7.5

Step-by-step explanation:

To solve this expression, we can use PEMDAS or order of operations. Parenthesis. Exponents.

Un pilón de riego está lleno en sus cuatro séptimas partes y contiene 1 600 m3 de agua. ¿Cuántos metros cúbicos caben en el pilón?

Answers

Veremos que el volumen total que cabe en el pilón es 2,800 m^3

Sabemos que el pilón tiene una capacidad máxima V.

Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.

Entonces podemos plantear:

(4/7)*V = 1,600m^3

Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:

V = (7/4)*1,600m^3 = 2,800 m^3

Es decir, el volumen total que cabe en el pilon es 2,800m^3

Sí quieres aprender más, puedes leer:

https://brainly.com/question/19129107

What is 45% written as a fraction in lowest terms?
Enter your answer by filling in the boxes.

Answers

Answer:

✓ 45% = 9/20

Step-by-step explanation:

What box?

Answer:

9/20.

Step-by-step explanation:

45/100

= 45/5 /  100/5

= 9/20.

Write an equation in standard form of the line that contains the point ​(-1,4) and is parallel to​​ (has the same slope​ as) the line y=2x-7

The equation of the line in standard form is

Answers

Answer:

slope of line AB = 5

Let the required line be 'l'.

since AB is parallel to 'l'.

so slope of 'l' = slope of AB = 5.

So, the required equation of line which passes through (4,5) and having slope 5 is given by

y - 5 = 5(x - 4).........[using slope point form]

y = 5x - 20 + 5

y = 5x - 15.

Step-by-step explanation:

Please solve this, i will mark brainliest

Answers

Answer:

[tex]k=-2[/tex]

Step-by-step explanation:

Let's write the left hand side as a negative power, and 9 as a power of 3:

[tex]3^-^k=3^2[/tex] At this point, for the equality to still stand, the exponents have to be equal:

[tex]-k = 2 \rightarrow k=-2[/tex]

(1/3)k = 9
3 -k = 3 2
-k=2
K=-2

PLEASE TELL ME A STORY I WANT AN IDEA ON WHAT TO WRITE NOT JUST A SIMPLE ANSWER LIKE I GAVE A HOMELESS MAN MONEY Describe a time when you solved a problem. What actions did you take, and what impact did you make?​​

Answers

Answer:

Write about like something that happened at school that involved you and others.

Step-by-step explanation:

Hope this helps!

You can write about a story that happened with others around you?? Or an story that happened to you once??

Calculate the missing terms in each proportion.

◼:11 = 11:121
5:2:1 = ◼:14:◼
1.5:◼:2.4 = 6:5:◼

Please Help me!

Answers

Answer:

1:11=11:121

5:2:1=35:14:7

1.5:1.25:2.4=6:5:9.6

Step-by-step explanation:

x/11=11/121 so x equals 1

5/2=x/14 so x equals 35

1.5/x=6/5 so x equals 1.25

1.25:2.4=5/x so x equals 9.6

An angle that measures exactly 180° is known as a/an
angle.

Answers

Answer:

supplementary angle

Step-by-step explanation:

please Mark my answer in brainlist

1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:

Answers

Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.

Step-by-step explanation:

Answer:

1: 18 3: 54 6: 108

Step-by-step explanation:

A triangle has 180 degrees.

You need to add up all the ratios 1+3+6

Then divide that by 180----> 180/10=18

Then multiply all the ratios by but answer(18)

1*18=18

3*18=54

6*18=108

I need help pls help me

Answers

Answer:

$1,270

Step-by-step explanation:

let x be the total amount of ice cream sold without tax

x + (x*0.0635)=21270

1.0635x=21270

x=20,000

so the amount he needs to send to state is

21270-20000

1,270

Total cost of icecream without cost be x

[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]

[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]

[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]

Amount to be paid

[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]

Mr. Lee's plant is 5 1/2 inches tall. It is 1 7/10 inches taller than Sally's plant.

How tall is Sally's plant?

Enter your answer as a simplified mixed number by filling in the boxes.
please answer!!! i need to get a A on this unit test

Answers

The height of Sally's plant in mixed fraction form will be equal to 3 4/5 inches.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Height of Lee's plant = 5 1/2 = 11/2

Let the height of Sally's plant be x.

Lee's plant is 1 7/10 taller than Sally's plant.

Then, the height of Sally's plant will be,

x = 11/2 - 17/10

Take LCM as 10

x = (55 - 17)/10

x = 38/10 = 19/5 inches

It can be written in the mixed fraction form as 3 4/5.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ5

Help me with math!!!

Answers

Answer:

- 7

Step-by-step explanation:

Given

t < - 6

Then t = - 7 is less than - 6 and is a solution

The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.

Answers

Answer: The percent of increase is 66.67%.

Step-by-step explanation:

Find the percent of increase of baseball cards.

Step 1: Subtract the starting value from the final value.

                                       65 - 39 = 26

Step 2: Take the value you get and divide it by the starting value.

                                       26 ÷ 39 = 0.666667

Step 3: Multiply what you get by 100.

                                       0.666667 × 100 = 66.6667

Step 4: Round what you get the nearest hundredth of a percent.

                                        66.6667 → 66.67%

Use the method of your choice to factor 8m^3−343 completely.

Answers

52m(-872)=92.28763m
The method would be the power of m with 92=92.28763
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