SOLUTION: how to solve sqrt(50h^15)

Question 614606: how to solve sqrt(50h^15)
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
First of all, only equations or inequalities are solved. What you have is called an expression. Expressions are simplified.

To simplify a square root, you look for perfect square factors of the radicand. ("Radicand" is the name for the expression inside a radical.) SO we look for perfect square factors of :

Since the radicand is all multiplication, I have used the Commutative Property to rearrange the order of the factors so that all the perfect squares are in front. Note also how I "lumped together" the factors that are not perfect squares, 2h. Neither of these are necessary but I find that it makes the rest of the simplifying a little easier.

Next we use a property of all radicals (including square roots), , to separate all the perfect square factors into their own "personal" square roots:

Now simplify the square roots of the perfect squares:

which simplifies to:

This is your simplified expression.

P.S. The could be done a little faster if you are good with exponents:

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