SOLUTION: Use Property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers. sqrt200y^6 sqrt(5m^2)/2

Question 109224: Use Property 1 to simplify each of the following radical expressions. Assume that all variables represent positive real numbers.
sqrt200y^6
sqrt(5m^2)/2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1
Start with the given expression
Factor into

Factor into

Break up the square root using the identity

Take the square root of the perfect square to get 10

Take the square root of the perfect squares to get

Multiply the common terms
Rearrange the terms

First let's simplify the numerator

Start with the numerator

Break up the square root using the identity

Take the square root of the perfect square to get

Rearrange the terms

So the expression simplifies to

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