What is (sqrt(6x^3))/(sqrt(3x))*sqrt(8x^2) ?

The solution to (sqrt(6x^3))/(sqrt(3x))*sqrt(8x^2) is 4x^2

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simplify (sqrt(6x^3))/(sqrt(3x))*sqrt(8x^2)

simplify

\frac{6 x ^{3}}{3 x} \cdot 8 x^{2}

4 x^{2}

Solution steps

\frac{6 x ^{3}}{3 x} 8 x^{2}

Simplify

8 x^{2} : 22 x

= \frac{6 x ^{3}}{3 x} \cdot 22 x

Cancel

\frac{6 x ^{3}}{3 x} : 2 x

= 2 x \cdot 22 x

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 x \cdot 2 x

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 2 x^{2} \cdot 2

2 \cdot 2 = 4

= 4 x^{2}

20 x^{2} + 44 x - 15

(8 - x) (8 + x)

2 (- 17)^{2}

\frac{1}{x ^{5}}

2 \frac{1}{9} - \frac{5}{9} + 1 \frac{2}{9}

What is (sqrt(6x^3))/(sqrt(3x))*sqrt(8x^2) ?
The solution to (sqrt(6x^3))/(sqrt(3x))*sqrt(8x^2) is 4x^2