How do you simplify sqrt(300x^11y^5)?

1 Answer
Dec 22, 2016

300^(1/2)x^(11/2)y^(5/2)

Explanation:

sqrt(300x^11y^5) can be rewritten as:

(300x^11y^5)^(1/2)

We can now use the following exponent rule to simplify this expression:

color(red)((x^a)^b = x^(a*b))

(300^(1/2)x^(11 * 1/2)y^(5 * 1/2))

300^(1/2)x^(11/2)y^(5/2)