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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Simplifying Radical Expressions

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Exercise 4 Page 248

Remember the Product Property of Square Roots.

2sqrt(35)

Practice makes perfect

We can simplify the expression by rewriting the number under the square root as the product of at least one perfect square factor.

sqrt(10)* sqrt(14)

SplitIntoFactors

Split into factors

sqrt(2* 5)* sqrt(2* 7)

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

sqrt(2)* sqrt(5)* sqrt(2)* sqrt(7)

▼

Simplify factors

CommutativePropMult

Commutative Property of Multiplication

sqrt(2)* sqrt(2)* sqrt(5)* sqrt(7)

sqrt(a)* sqrt(a)= a

2* sqrt(5)* sqrt(7)

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

2* sqrt(5*7)

Multiply

2sqrt(35)

Subchapter links

Exercises p.248-250