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What is the simplified form of the expression square root of 1/144?

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User Madmenyo
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2 Answers

2 votes
1/12

When simplifying a radical, pull out any perfect squares. In this case it works out nicely. 1 is the square of 1 and 144 is the square of 12, so you get 1/12.

In another case such as sqrt(20) you can pull out a 4 which is a perfect square which leaves 5. So the answer would be 2sqrt(5).
answered
User VPeric
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8.2k points
5 votes

\sqrt{ (1)/(144)} = \sqrt{ (1)/( 12^(2)) } = (1)/(12)
answered
User Dylan Bijnagte
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8.5k points

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