What is \sqrt[3]{16}*sqrt(8) ?

The solution to \sqrt[3]{16}*sqrt(8) is 4\sqrt[6]{2^5}

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simplify \sqrt[3]{16}*sqrt(8)

simplify

Decimal Notation

7.12718 \dots

Solution steps

8 = 22

Apply radical rule:

= 2 \cdot 2^{\frac{1}{3}} \cdot 22

Apply radical rule:

a = a^{\frac{1}{2}}

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

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

Apply exponent rule:

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

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

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

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

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

Multiply the numbers:

2 \cdot 2 = 4

= 4 \cdot 2^{\frac{5}{6}}

= 2^{\frac{5}{6}} \cdot 4

(3 x + 2) (x - 7)

\frac{1}{12 - 10}

(3 i)^{4} + 1

2 \frac{1}{4} \div \frac{1}{2}

- 2 - 12 (- 2 x - 3)

What is \sqrt[3]{16}*sqrt(8) ?
The solution to \sqrt[3]{16}*sqrt(8) is 4\sqrt[6]{2^5}