What is (sqrt(12))^3 ?

The solution to (sqrt(12))^3 is 24sqrt(3)

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simplify (sqrt(12))^3

simplify

(12)^{3}

243

Decimal Notation

41.56921 \dots

Solution steps

(12)^{3}

Apply exponent rule:

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

(12)^{2 + 1} = (12)^{2} 12

= (12)^{2} 12

Apply exponent rule:

(12)^{2} = 12

= 1212

Prime factorization of

12 : 2^{2} \cdot 3

= 12 2^{2} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 3 = 2^{2} 3

= 12 2^{2} 3

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 12 \cdot 23

Multiply the numbers:

12 \cdot 2 = 24

= 243

e^{- 2 t} \cdot e^{- 2 t}

e^{- 0.95}

\frac{- 6}{3}

5 x^{4} y^{4} (2 x^{3} y^{3})