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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 33 Page 266

Use the Distributive Property.

5sqrt(2)+3sqrt(6)

Practice makes perfect

We can simplify this expression using the Distributive Property.

sqrt(2)(5+3sqrt(3))

Distr

Distribute sqrt(2)

sqrt(2)*5+sqrt(2)*3sqrt(3)

CommutativePropMult

Commutative Property of Multiplication

5sqrt(2)+3sqrt(3)*sqrt(2)

ProdSqrt

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

5sqrt(2)+3sqrt(3*2)

Multiply

5sqrt(2)+3sqrt(6)

Notice that radicals can only be added or subtracted when the index and the value inside are exactly the same. Therefore we cannot simplify our expression any further.