SOLUTION: I can't figure out the Square Root of 175. Please help.

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Question 234208: I can't figure out the Square Root of 175. Please help.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

It depends. Do you just want a numerical approximation or do you want the exact answer in simplest terms?

For a numerical approximation, enter 175 into your calculator then press the square root key. Round to an appropriate level of precision.

For an exact answer in simplest terms, first determine the prime factorization of your radicand.

175 is odd, therefore not divisible by 2:

1+7+5=13, 13 not divisible by 3, so 175 is not divisible by 3:

175 ends in 5, so 175 is divisible by 5. 175 divided by 5 = 35:

35 is 7 times 5, so the prime factorization of 175 is 5 times 5 times 7.

There are a pair of 5s in the prime factorization. Take one five out of the radicand and toss the other one, leaving you with:




John