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Popular >

simplify (sqrt(48x^3))/(sqrt(3x))

Solution

simplify

\frac{48 x ^{3}}{3 x}

Solution

4 x

Solution steps

\frac{48 x ^{3}}{3 x}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{48 x ^{3}}{3 x} = \frac{48 x ^{3}}{3 x}

= \frac{48 x ^{3}}{3 x}

Cancel

\frac{48 x ^{3}}{3 x} : 16 x^{2}

= 16 x^{2}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

16 x^{2} = 16 x^{2}

= 16 x^{2}

16 = 4

= 4 x^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 4 x

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Frequently Asked Questions (FAQ)

What is (sqrt(48x^3))/(sqrt(3x)) ?
The solution to (sqrt(48x^3))/(sqrt(3x)) is 4x