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Simplify remove all perfect squares from inside the square root 125

1 Answer

2 votes

Answer:


5√(5)

Explanation:

We start by factoring 125 and look for a perfect square:

125= 5*5*5=
5^(2) *5.

This allow us to simplify the radical:


√(125) = \sqrt{5^(2) *5}

So we have:


\sqrt{5^(2) *5} =5√(5)

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