How do you simplify #sqrt(25x^2y)#?

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Answer 1 · 2018-06-06T16:49:39

#5xsqrt(y)#

#=sqrt(25x^2y)#

#=sqrt(5^2x^2y)#

#=5xsqrt(y)#

Answer 2 · 2018-06-06T16:54:49

#5xy^(1/2)#

The square roof of the products is the same as the product of the square roots, so we can rewrite this as

#color(red)(sqrt25)*color(blue)(sqrt(x^2))*color(orchid)(sqrt(y))#

This simplifies to

#color(red)(5)color(blue)(x)color(orchid)(sqrty)#

Which can be rewritten as

#color(red)(5)color(blue)(x)color(orchid)(y^(1/2))#

Hope this helps!