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Simplify radical. Intermediate Algebra
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Simplify radical. Intermediate Algebra

Simplify radical. Intermediate Algebra-example-1
User Perryn Fowler
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1 Answer

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180 ÷ 2 = 90; 90 ÷ 2 = 45 ; 45 ÷ 3 = 15 ; 15 ÷ 3 = 5 ; 5 ÷ 5 = 1 => 180 = (2^2) * (3^2) * 5 =>
√(180) = 2*3 * √(5 )=6 √(5) ;

In the same way we have
√(245)=7 √(5) ; and
√(320 )=8 √(5) ;

Finally,
6 √(5)+7 √(5) - 8 √(5) = 13 √(5) - 8 √(5) =7 √(5).
User Toria
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8.7k points
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