Basic Math Examples

$\frac{58^{2}}{\sqrt[3]{24389}} \cdot \sqrt{3721} + 33^{2}$

Step 1

Simplify each term.

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Step 1.1

Raise $58$ to the power of $2$ .

$\frac{3364}{\sqrt[3]{24389}} \cdot \sqrt{3721} + 33^{2}$

Step 1.2

Simplify the denominator.

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Step 1.2.1

Rewrite $24389$ as $29^{3}$ .

$\frac{3364}{\sqrt[3]{29^{3}}} \cdot \sqrt{3721} + 33^{2}$

Step 1.2.2

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

$\frac{3364}{29} \cdot \sqrt{3721} + 33^{2}$

Step 1.3

Divide $3364$ by $29$ .

$116 \cdot \sqrt{3721} + 33^{2}$

Step 1.4

Rewrite $3721$ as $61^{2}$ .

$116 \cdot \sqrt{61^{2}} + 33^{2}$

Step 1.5

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

$116 \cdot 61 + 33^{2}$

Step 1.6

Multiply $116$ by $61$ .

$7076 + 33^{2}$

Step 1.7

Raise $33$ to the power of $2$ .

$7076 + 1089$

Step 2

Add $7076$ and $1089$ .

$8165$