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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 54 Page 450

Radicals can only be added or subtracted when the index and the radicand are exactly the same.

6sqrt(5)

Practice makes perfect

To simplify the given radical expression, we first need to factor out the same radicals. Notice that radicals can only be added or subtracted when the index and the radicand are exactly the same. 5 sqrt(5)+ sqrt(5) The radicals have the same radicand and index, so we can add them.

5sqrt(5)+sqrt(5)

FactorOut

Factor out sqrt(5)

(5+1)sqrt(5)

AddTerms

Add terms

6sqrt(5)

The simplest form of the radical expression is 6sqrt(5).