How do you simplify 4sqrt(32x^8 y^3 z^10)?

1 Answer
Apr 13, 2018

16sqrt2 x^4y^1.5z^5

Explanation:

Rewrite 32 as 2^5 and 4 as 2^2 to more easily group numbers together.

2^2sqrt{2^5 x^8y^3z^{10}}

The square root will halve all of the powers of the factors inside the radical.

2^2times2^2.5 x^4y^1.5z^5

2^4.5 x^4y^1.5z^5

16sqrt2 x^4y^1.5z^5