Question

simplify 5 ^3sqrt 163
135 ^3sqrt 6
15 ^3sqrt 6
8 ^3sqrt 6
3 ^3sqrt 6

Answer 1

By ^3sqrt 163 do you mean\[\large \sqrt[3]{163}\]

Answer 2

my bad it is \[5\sqrt[3]{162}\]

Answer 3

162 or 163?

Answer 4

162, made a typo

Answer 5

3 * 3 * 3 * 3 * 2

Answer is 15 root 6

Answer 6

cube root, sorry

Answer 7

\[162 = 81\cdot 2 = 3\cdot 3\cdot 3\cdot 3\cdot 2 =3^3 \cdot 3 \cdot 2 \]\[\implies 5\sqrt[3]{162} = 5\sqrt[3]{3^3\cdot 3\cdot 2}=5(3)\sqrt[3]{3\cdot 2}\]