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Big Ideas Math Integrated I, 2016 View details

2. Measuring and Constructing Segments

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Exercise 39 Page 394

Add the terms inside the radical. Is the sum a perfect square?

5

Practice makes perfect

Let's begin by adding the terms inside the radical. sqrt(20+5) ⇔ sqrt(25) It simplified to be a perfect square! When we are given a number in a radical, we are typically being asked for the principal root. When the index is even, the root is positive. 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