What is (sqrt(125x^6))/(sqrt(x)) ?

The solution to (sqrt(125x^6))/(sqrt(x)) is 5sqrt(5)x^2sqrt(x)

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simplify (sqrt(125x^6))/(sqrt(x))

simplify

\frac{125 x ^{6}}{x}

55 x^{2} x

Solution steps

\frac{125 x ^{6}}{x}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{125 x ^{6}}{x} = \frac{125 x ^{6}}{x}

= \frac{125 x ^{6}}{x}

Cancel

\frac{125 x ^{6}}{x} : 125 x^{5}

= 125 x^{5}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

125 x^{5} = 125 x^{5}

= 125 x^{5}

Simplify

x^{5} : x^{2} x

= 125 x^{2} x

125 = 55

= 55 x^{2} x

2 sin (\frac{θ}{5}) cos (\frac{θ}{5})

1 6^{\frac{1}{2}} - 62 5^{\frac{1}{2}}

\frac{( x ^{2} + x y - 22 y ^{2} )}{( x + 5 y )}

x^{5} + x^{2}

4 π (3)^{2}

What is (sqrt(125x^6))/(sqrt(x)) ?
The solution to (sqrt(125x^6))/(sqrt(x)) is 5sqrt(5)x^2sqrt(x)