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!

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