How do you simplify sqrt(75xy^4)√75xy4?

1 Answer
Don't Memorise
Jul 9, 2015

=color(green)(5y^2sqrt(3x)=5y2√3x

Explanation:

sqrt 75 = sqrt(5*5*3)√75=√5⋅5⋅3
sqrt(y^4) =sqrt( y^2 * y^2)√y4=√y2⋅y2

Rewriting the expression:
sqrt(75xy^4) = sqrt(color(green)((5*5)) * 3 * x * color(green)(( y^2 * y^2))√75xy4=√(5⋅5)⋅3⋅x⋅(y2⋅y2)

=color(green)(5y^2sqrt(3x)=5y2√3x

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