SOLUTION: What is the square root of 9/50 in simplest form? (and) What is the answer to "the square root of 7/10 times the square root of 7/2?" Please show work. Thanks!

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Question 778025: What is the square root of 9/50 in simplest form? (and) What is the answer to "the square root of 7/10 times the square root of 7/2?" Please show work. Thanks!
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
What is the square root of 9/50 in simplest form?
start by determining the prime factors of 9 and 50
3^2 / (2*5^2)
so we are asked for the square root (3^2 / (2*5^2)) in simplest form
which is (3/5) * square root (1/2)
What is the square root of 7/10 times the square root of 7/2
we have 7^2 / (2^2*5)
now we have square root (7^2 / (2^2*5))
which is (7/2) * square root (1/5)