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Simplify square 32 in a surd form

 Jan 19, 2016
 #1
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Simplify square 32 in a surd form

 

square of 32 or square root of 32?

32=2^5=4sqrt(2) this is square root of 32

Square of 32 is: 4sqrt(2) X 4sqrt(2)

 Jan 19, 2016
 #2
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By "square 32", I'm assuming you mean "the square root of 32"?

\(\sqrt{32}\)

Find all the factors of 32.

\(\sqrt{2\times2\times2\times2\times2}\)

Group the pairs of factors together.

\(\sqrt{(2\times2)\times(2\times2)\times2}\)

Seperate the them into their own radicals.

\(\sqrt{2\times2}\times\sqrt{2\times2}\times\sqrt{2}\)

And simplify.

\(4\times\sqrt{2}\)

\(32=4\sqrt{2}\)

 Jan 19, 2016

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