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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

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Exercise 5 Page 617

Remember the Division Property of Square Roots.

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Practice makes perfect

We can simplify this expression by using the Division Property of Square Roots. sqrt(a/b)=sqrt(a)/sqrt(b) ⇓ sqrt(45/80)=sqrt(45)/sqrt(80) Now, we can simplify the expression by rewriting the number under the square root as the product of at least one perfect square factor.

sqrt(45)/sqrt(80)

SplitIntoFactors

Split into factors

sqrt(9 * 5)/sqrt(16 * 5)

sqrt(a* b)=sqrt(a)*sqrt(b)

sqrt(9) * sqrt(5)/sqrt(16) * sqrt(5)

Calculate root

3 * sqrt(5)/4 * sqrt(5)

a/b=.a /sqrt(5)./.b /sqrt(5).

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