Algebra Examples

$\sqrt[3]{\sqrt{64 a^{10} b^{34}}}$

Step 1

Rewrite $64 a^{10} b^{34}$ as ${(8 a^{5} b^{17})}^{2}$ .

$\sqrt[3]{\sqrt{{(8 a^{5} b^{17})}^{2}}}$

Step 2

Pull terms out from under the radical.

$\sqrt[3]{| 8 a^{5} b^{17} |}$

Step 3

Remove non-negative terms from the absolute value.

$\sqrt[3]{8 | a^{5} b^{17} |}$

Step 4

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} | a^{5} b^{17} |}$

Step 5

Pull terms out from under the radical.

$2 \sqrt[3]{| a^{5} b^{17} |}$