What is (sqrt(50x^3))/((sqrt(32x^2))) ?

The solution to (sqrt(50x^3))/((sqrt(32x^2))) is (5sqrt(x))/4

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simplify (sqrt(50x^3))/((sqrt(32x^2)))

simplify

\frac{50 x ^{3}}{( 32 x ^{2} )}

\frac{5 x}{4}

Solution steps

\frac{50 x ^{3}}{32 x ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

\frac{50 x ^{3}}{32 x ^{2}} = \frac{50 x ^{3}}{32 x ^{2}}

= \frac{50 x ^{3}}{32 x ^{2}}

Cancel

\frac{50 x ^{3}}{32 x ^{2}} : \frac{25 x}{16}

= \frac{25 x}{16}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{25 x}{16}

Simplify

25 x : 5 x

= \frac{5 x}{16}

16 = 4

= \frac{5 x}{4}

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t^{2} cos^{3} (t) + t^{3} cos^{2} (t)

(k - 6)^{3}

(2 x - 2)^{3}

What is (sqrt(50x^3))/((sqrt(32x^2))) ?
The solution to (sqrt(50x^3))/((sqrt(32x^2))) is (5sqrt(x))/4