What is \sqrt[3]{2}*\sqrt[4]{2} ?

The solution to \sqrt[3]{2}*\sqrt[4]{2} is \sqrt[12]{2^7}

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simplify \sqrt[3]{2}*\sqrt[4]{2}

simplify

Decimal Notation

1.49830 \dots

Solution steps

Apply radical rule:

= 2^{\frac{1}{3}} \cdot 2^{\frac{1}{4}}

Apply exponent rule:

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

2^{\frac{1}{3}} \cdot 2^{\frac{1}{4}} = 2^{\frac{1}{3} + \frac{1}{4}}

= 2^{\frac{1}{3} + \frac{1}{4}}

\frac{1}{3} + \frac{1}{4} = \frac{7}{12}

= 2^{\frac{7}{12}}

(2 a + 4)^{2}

- 10 + (- 6)

(9 q) (- 4 q^{3})

6 x \cdot 30 x

\frac{4 x ^{2}}{4 x}

What is \sqrt[3]{2}*\sqrt[4]{2} ?
The solution to \sqrt[3]{2}*\sqrt[4]{2} is \sqrt[12]{2^7}