SOLUTION: What is the square root of (5mn)^5

Question 367254: What is the square root of (5mn)^5
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

To simplify any square root you look for perfect square factors. So we will factor the radicand (the expression inside the radical) into as many perfect square factors as possible:

Using the Commutative property we can rearrange the factors. I like to put all the perfect square factors in front:

Next we can use the property of radicals, to separate all the perfect square factors into separate square roots:

Now we can simplify the square roots of the perfect squares:

which simplifies to:

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