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alexdok [17]
4 years ago
11

How to simplify square root of 72?

Mathematics
2 answers:
Nastasia [14]4 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]4 years ago
5 0
6√2
<span>
√72
= </span><span>√8*9
= </span><span>√(4*2*9)
= </span>√4*√2*<span>√9
= 2*3*</span><span>√2
= 6</span>√2
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