How do you simplify the radical expression sqrt(32x^5)?

Apr 20, 2017

$4 {x}^{2} \sqrt{2 x}$

Explanation:

sqrt((16x^4)(2x)

Now take the first term out:
$4 {x}^{2} \sqrt{2 x}$

This is the simple form of your equation
$4 {x}^{2} \sqrt{2 x}$

Apr 20, 2017

color(green)(4x^2sqrt(2x)

Explanation:

$\sqrt{32 {x}^{5}}$

:.sqrt(4*4*2*x*x*x*x*x

$\therefore \sqrt{4} \cdot \sqrt{4} = 4$

$\therefore \sqrt{x} \cdot \sqrt{x} = x$

$\therefore 4 \cdot x \cdot x \cdot \sqrt{2 \cdot x}$

:.color(green)(4x^2sqrt(2x)