How do you simplify (18 +sqrt(567))/9?

1 Answer
Alan P.
Oct 17, 2015

(18+sqrt(567))/9 = 2+sqrt(7)

Explanation:

(18+sqrt(567))/9

. color(white)("XXXX")= 18/9 + sqrt(567)/9

. color(white)("XXXX")=2+ sqrt(9^2*7)/9

. color(white)("XXXX")=2+(sqrt(9^2)*sqrt(7))/9

. color(white)("XXXX")=2+sqrt(7)

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