How do you simplify 4sqrt(50x^5)?

1 Answer
Sep 25, 2015

20x^2sqrt(2x)

Explanation:

Prime factors of 50 are 2 * 5 * 5
And x^5 = x^2 * x^2 * x

Hence: 4sqrt(50x^5) = 4sqrt(2 * 5 * 5 * x^2 * x^2 * x)
Since sqrt(5*5) = 5 and sqrt(x^2 * x^2) = x^2

4sqrt(50x^5) = 4*5*x^2sqrt(2*x)

= 20x^2sqrt(2x)