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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 30 Page 266

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

2sqrt(6)-4sqrt(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.

2sqrt(6)-sqrt(48)

SplitIntoFactors

Split into factors

2sqrt(6)-sqrt(16*3)

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

2sqrt(6)-sqrt(16)*sqrt(3)

Calculate root

2sqrt(6)-4sqrt(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