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McGraw Hill Glencoe Algebra 1, 2012 View details

2. Real Numbers

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Exercise 30 Page p10

Look for perfect square factors in both the numerator and the denominator.

13/14

To simplify a square root, we need to find perfect square factors inside the radicand. Because the value inside the square root is a fraction, we need to look for these factors in both the numerator and the denominator.

sqrt(169/196)

SplitIntoFactors

Split into factors

sqrt(13* 13/14* 14)

ProdToPowTwoFac

a* a=a^2

sqrt(13^2/14^2)

a^m/b^m=(a/b)^m

sqrt((13/14)^2)

SqrtPowToNumber

sqrt(a^2)=a

13/14