What is sqrt(6)*sqrt(6)*sqrt(6) ?

The solution to sqrt(6)*sqrt(6)*sqrt(6) is 6sqrt(6)

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simplify sqrt(6)sqrt(6)sqrt(6)

simplify

6 \cdot 6 \cdot 6

66

Decimal

14.69693 \dots

Solution steps

666

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

666 = 6^{\frac{1}{2}} \cdot 6^{\frac{1}{2}} \cdot 6^{\frac{1}{2}} = 6^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

= 6^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}}

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} : \frac{3}{2}

= 6^{\frac{3}{2}}

6^{\frac{3}{2}} = 6^{1 + \frac{1}{2}}

= 6^{1 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 6^{1} \cdot 6^{\frac{1}{2}}

Refine

= 66

3 5 w^{15}

\frac{e ^{- 1}}{e ^{1}}

5 e^{- 0}

\frac{2}{x} x^{- 1}

4 (\frac{1}{x})^{- 2}

What is sqrt(6)*sqrt(6)*sqrt(6) ?
The solution to sqrt(6)*sqrt(6)*sqrt(6) is 6sqrt(6)