How do you simplify $\sqrt{32 x^{4}}$ $sqrt(32x^4)$ ?

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Answer 1 · 2015-09-13T16:52:23

$= 4 x^{2} \sqrt{2}$ $=color(blue)(4x^2sqrt2$

$\sqrt{32 x^{4}} = \sqrt{2^{5} \cdot x^{4}}$ $sqrt(32x^4)= sqrt(2^5 * x^4$

$= \sqrt{(2^{2} \cdot 2^{2} \cdot 2) . (x^{2} \cdot x^{2})}$ $= sqrt(color(blue)((2^2 * 2^2 *2)) .color(green)(( x^2 *x^2)$

$= 2 \cdot 2 \cdot x \cdot x \sqrt{2}$ $=2*2*x*xsqrt2$
$= 4 x^{2} \sqrt{2}$ $=color(blue)(4x^2sqrt2$

How do you simplify sqrt(32x^4)√32x4sqrt(32x^4)?