simplify \sqrt[4]{2}*\sqrt[4]{8}

Let's simplify:

\sqrt[4]{2} \times \sqrt[4]{8}

ⓘ Powers with the same exponent are multiplied by multiplying the bases:

\sqrt[4]{2} \times \sqrt[4]{8}

\sqrt[4]{2 \times 8}

\sqrt[4]{2 \times 8}

ⅰ

2 \times 8

16

\sqrt[4]{16}

ⓘ The root of order

4

is the number whose power

4

equals the radicand:

\sqrt[4]{16}

2

;

2^{4}

16

▶Simplified form:

2