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Simplify radical. Intermediate Algebra

Simplify Radical Intermediate Algebra class=

Sagot :

Crisforpidn
180 ÷ 2 = 90; 90 ÷ 2 = 45 ; 45 ÷ 3 = 15 ; 15 ÷ 3 = 5 ; 5 ÷ 5 = 1 => 180 = (2^2) * (3^2) * 5 => [tex] \sqrt{180} = 2*3 * \sqrt{5 }=6 \sqrt{5} ;[/tex]

In the same way we have [tex] \sqrt{245}=7 \sqrt{5} ;[/tex] and [tex] \sqrt{320 }=8 \sqrt{5} ;[/tex]

Finally, [tex]6 \sqrt{5}+7 \sqrt{5} - 8 \sqrt{5} = 13 \sqrt{5} - 8 \sqrt{5} =7 \sqrt{5}. [/tex]
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