SOLUTION: Express in simplest radical form: Square root of 25a^2b^2

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Question 116247This question is from textbook
: Express in simplest radical form:
Square root of 25a^2b^2
This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2825%2Aa%5E2b%5E2%29Start with the given expression

sqrt%2825%29%2Asqrt%28a%5E2%29%2Asqrt%28b%5E2%29 Break up the square root using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

5%2Asqrt%28a%5E2%29%2Asqrt%28b%5E2%29 Take the square root of the perfect square 25 to get 5

5%2Aab Take the square root of the perfect squares a%5E2 and b%5E2 to get a and b