How do you simplify sqrt(45x^2)?

1 Answer
Alan P.
Jul 7, 2015

sqrt(45x^2) = 3abs(x)sqrt(5)

Explanation:

sqrt(45x^2)
color(white)("XXXX")=sqrt(3^2*5*x^2)

color(white)("XXXX")= sqrt(3^2)*sqrt(5)*sqrt(x^2)

color(white)("XXXX")= 3 * sqrt(5) *abs(x)

color(white)("XXXX")= 3abs(x)sqrt(5)

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