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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

Chapter Review

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Exercise 5 Page 423

If the radical's index is even, and the radicand is a number, we only care about the principal root.

5

Practice makes perfect

When we are given a number in a radical, we are typically being asked for the principal root. When the index is even, this is the positive root. Since the index of sqrt(25) is even, let's find its principal root.

sqrt(25)

SplitIntoFactors

Split into factors

sqrt(5*5)

ProdToPowTwoFac

a* a=a^2

sqrt(5^2)

SqrtPowToNumber

sqrt(a^2)=a

5

The real root of sqrt(25) is 5.

Subchapter links

Exercises p.422-426