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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Radical Equations

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Exercise 45 Page 263

Start by multiplying the expressions inside the radicals. Consider the Product Property of Radicals.

42sqrt(2)

Practice makes perfect

We can simplify this expression by multiplying the expressions inside the radicals. asqrt(b)* csqrt(d)=a* csqrt(b* d) ⇓ 7sqrt(3)* 2sqrt(6)= 7 * 2sqrt(3* 6) Then we can calculate the product and simplify it by rewriting the number under the square root as the product of at least one perfect square factor.

7 * 2sqrt(3* 6)

Multiply

14sqrt(18)

SplitIntoFactors

Split into factors

14sqrt(9 * 2)

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

14sqrt(9) * sqrt(2)

Calculate root

14 * 3 * sqrt(2)

Multiply

42sqrt(2)

Subchapter links

Exercises p.261-263