en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt((48x^3)/(3xy^2))

Solution

simplify

\frac{48 x ^{3}}{3 x y ^{2}}

Solution

\frac{4 x}{y}

Solution steps

\frac{48 x ^{3}}{3 x y ^{2}}

Cancel

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

= \frac{16 x ^{2}}{y ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{16 x ^{2}}{y ^{2}}

Simplify

16 x^{2} : 4 x

= \frac{4 x}{y ^{2}}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= \frac{4 x}{y}

Popular Examples

simplify-1/3*9 simplify

- \frac{1}{3} \cdot 9

factor 3x^3+15x^2+2x+10 factor

3 x^{3} + 15 x^{2} + 2 x + 10

simplify (13/9)/2+11/6 simplify

\frac{\frac{13}{9}}{2} + \frac{11}{6}

- x^{2} - 6 x = 0

5 x^{2} - 8 x - 14 = 0

Frequently Asked Questions (FAQ)

What is sqrt((48x^3)/(3xy^2)) ?
The solution to sqrt((48x^3)/(3xy^2)) is (4x)/y