Basic Math Examples

$y = \sqrt{81} - \sqrt[3]{- 64}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $81$ as $9^{2}$ .

$y = \sqrt{9^{2}} - \sqrt[3]{- 64}$

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$y = 9 - \sqrt[3]{- 64}$

Step 1.3

Rewrite $- 64$ as ${(- 4)}^{3}$ .

$y = 9 - \sqrt[3]{{(- 4)}^{3}}$

Step 1.4

Pull terms out from under the radical, assuming real numbers.

$y = 9 - - 4$

Step 1.5

Multiply $- 1$ by $- 4$ .

$y = 9 + 4$

Step 2

Add $9$ and $4$ .

$y = 13$