What is (sqrt(90x^{18)})/(sqrt(2x)) ?

The solution to (sqrt(90x^{18)})/(sqrt(2x)) is 3sqrt(5)x^8sqrt(x)

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simplify (sqrt(90x^{18)})/(sqrt(2x))

simplify

\frac{90 x ^{18}}{2 x}

35 x^{8} x

Solution steps

\frac{90 x ^{18}}{2 x}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{90 x ^{18}}{2 x} = \frac{90 x ^{18}}{2 x}

= \frac{90 x ^{18}}{2 x}

Cancel

\frac{90 x ^{18}}{2 x} : 45 x^{17}

= 45 x^{17}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

45 x^{17} = 45 x^{17}

= 45 x^{17}

Simplify

x^{17} : x^{8} x

= 45 x^{8} x

45 = 35

= 35 x^{8} x

9 a^{2} + 49 b - a + b

\frac{x ^{2} - 64}{4 x ^{3} + 32 x ^{2}}

(3 a^{2} - a + 2)^{2}

\frac{( 18 x ^{3} + 12 x ^{2} - 3 x )}{6 x ^{2}}

3 + (- \frac{3}{2})

What is (sqrt(90x^{18)})/(sqrt(2x)) ?
The solution to (sqrt(90x^{18)})/(sqrt(2x)) is 3sqrt(5)x^8sqrt(x)