What is sqrt(6)\sqrt[3]{12} ?

The solution to sqrt(6)\sqrt[3]{12} is sqrt(2)*2^{2/3}*3^{5/6}

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simplify sqrt(6)\sqrt[3]{12}

simplify

2 \cdot 2^{\frac{2}{3}} \cdot 3^{\frac{5}{6}}

Decimal Notation

5.60793 \dots

Solution steps

Factor integer

6 = 2 \cdot 3

Apply radical rule:

2 \cdot 3 = 23

Factor integer

12 = 2^{2} \cdot 3

Apply radical rule:

Apply exponent rule:

(a^{b})^{c} = a^{b c}

Refine

Apply exponent rule:

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

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

3^{\frac{1}{2} + \frac{1}{3}} = 3^{\frac{5}{6}}

= 2 \cdot 2^{\frac{2}{3}} \cdot 3^{\frac{5}{6}}

- 1.6 \div 2

(b + 4 c) (b - 4 c)

(x - 1) (x + 1) (x - 3)

- \frac{9}{7} + (- \frac{3}{70})

- 2 h - 5 - 3 h - 8

What is sqrt(6)\sqrt[3]{12} ?
The solution to sqrt(6)\sqrt[3]{12} is sqrt(2)*2^{2/3}*3^{5/6}