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

2 Answers
Jun 6, 2018

Answer:

#5xsqrt(y)#

Explanation:

#=sqrt(25x^2y)#

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

#=5xsqrt(y)#

Jun 6, 2018

Answer:

#5xy^(1/2)#

Explanation:

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!