Exercise 32 Page 266

To simplify the given expression, use perfect squares to group radicals with like radicands.

5sqrt(2)+5sqrt(3)

Practice makes perfect

Radicals can only be added or subtracted when they have like radicands. a sqrt(x) + b sqrt(x) = (a+b) sqrt(x) asqrt(x)-bsqrt(x)=(a-b)sqrt(x) Let's use perfect squares to simplify our radicals to see if we can create like terms.

sqrt(50)+sqrt(75)

SplitIntoFactors

Split into factors

sqrt(25*2)+sqrt(25*3)

SqrtProd

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

sqrt(25)*sqrt(2)+sqrt(25)*sqrt(3)

CalcRoot

Calculate root

5sqrt(2)+5sqrt(3)

We cannot create like terms, so we cannot simplify our expression any further.

Subchapter links

1 Graphing Exponential Functions p.265

2 Solving Exponential Equations and Inequalities p.265

3 Simplifying Radical Expressions p.265

4 Operations with Radical Expressions p.266

5 Radical Equations p.266

Exercise 32 Page 266

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