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2 years ago

How to simplify square root of 72?

Mathematics

2 answers:

Nastasia [14]2 years ago

6 0

Answer: $\sqrt[6]{2}$

Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36 then recognise 36 as a perfect square, 6 · 6.

There is no need to factor further because the 6's pair up. So a 6 comes out of the radical leaving a 2 inside and our answer is $\sqrt[6]{2}$ .

As you make your factor tree, always be on the lookout for perfect squares such as 36.

I have shown my work in the image attached.

Ierofanga [76]2 years ago

5 0

6√2

√72
= √8*9
= √(4*2*9)
= √4*√2*√9
= 2*3*√2
= 6√2

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Using complete sentences, explain how to find the quotient of 4 5/8 ÷ 2 3/4 . Make sure to include the quotient in your answer.

xeze [42]

Answer:

$4\frac{5}{8}\div \:\:2\frac{3}{4}=\frac{37}{22}$

Step-by-step explanation:

Given

$4\frac{5}{8}\div \:2\frac{3}{4}$

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{5}{8}=\frac{37}{8}$

$=\frac{37}{8}\div \:2\frac{3}{4}$

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{3}{4}=\frac{11}{4}$

$=\frac{37}{8}\div \frac{11}{4}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{37}{8}\times \frac{4}{11}$

$\mathrm{Cross-cancel\:common\:factor:}\:4$

$=\frac{37}{2}\times \frac{1}{11}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{37\times \:1}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:37\times \:1=37$

$=\frac{37}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22$

$=\frac{37}{22}$

Therefore,

$4\frac{5}{8}\div \:\:2\frac{3}{4}=\frac{37}{22}$

5 0

2 years ago

2 people working at the same rate will take 6 hours to paint a room.

inna [77]

Answer:

4 hours

Step-by-step explanation:

2×6=3x

12÷3= 4

x=4 so 4 hours.

8 0

2 years ago

Read 2 more answers

What is the value of x in the following equation 1/5x=5^8 A)-8 B) 8 C)40 D)-40

Monica [59]

The correct question is
What is the value of x in the following equation (1/5)^x=5^8

Applying logarithms both members
log(1/5)^x=log(5^8)
x*log(1/5)=8*log(5)
x=8*log(5)/log(1/5)

we know that
log (1/5)----> log (1)-log (5)----> 0-log (5)-----> -log (5)
so
x=8*log(5)/-log (5)------> x=-8

the answer is
-8

7 0

2 years ago

What is the volume of a right rectangular prism that is 3 meters by 4.5 meters

taurus [48]

Answer:

The volume is 81 m³.

Step-by-step explanation:

This is the right rectangular prism which dimensions are:

W = 3 m , L = 4.5 m , H = 6 m

The volume of the prism:

V = W * L * H

V = 3 m * 4.5 m * 6 m = 81 m³