What is (sqrt(72x^3))/(sqrt(6x^2)) ?

The solution to (sqrt(72x^3))/(sqrt(6x^2)) is 2sqrt(3)sqrt(x)

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simplify (sqrt(72x^3))/(sqrt(6x^2))

simplify

\frac{72 x ^{3}}{6 x ^{2}}

23 x

Solution steps

\frac{72 x ^{3}}{6 x ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{72 x ^{3}}{6 x ^{2}} = \frac{72 x ^{3}}{6 x ^{2}}

= \frac{72 x ^{3}}{6 x ^{2}}

Cancel

\frac{72 x ^{3}}{6 x ^{2}} : 12 x

= 12 x

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

12 x = 12 x

= 12 x

12 = 23

= 23 x

7 x^{2} + 17 x + 10

5 a b^{2} \cdot 6 b

26 \times 8

1 - \frac{1}{x - 2}

2 a^{2} + 6

What is (sqrt(72x^3))/(sqrt(6x^2)) ?
The solution to (sqrt(72x^3))/(sqrt(6x^2)) is 2sqrt(3)sqrt(x)