What is ((sqrt(12x^3)))/((sqrt(2x))) ?

The solution to ((sqrt(12x^3)))/((sqrt(2x))) is xsqrt(6)

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simplify ((sqrt(12x^3)))/((sqrt(2x)))

simplify

\frac{( 12 x ^{3} )}{( 2 x )}

x 6

Solution steps

\frac{12 x ^{3}}{2 x}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{12 x ^{3}}{2 x} = \frac{12 x ^{3}}{2 x}

= \frac{12 x ^{3}}{2 x}

Cancel

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

= 6 x^{2}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

6 x^{2} = 6 x^{2}

= 6 x^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 6 x

= x 6

2 \frac{cot ^{2} ( a )}{( 1 + co tan ^{2} ( a ) )}

(t + 2)^{4} + (t - 2)^{4}

0.25 \times (- 91) (91) - (- 21) (- 21) + 0.5 \times (- 5)

l^{- 1} \cdot {\frac{1}{( s ^{2} + 14 s + 24 )}}

(\frac{1}{2 x + y})^{2}

What is ((sqrt(12x^3)))/((sqrt(2x))) ?
The solution to ((sqrt(12x^3)))/((sqrt(2x))) is xsqrt(6)