Basic Math Examples

$3 \sqrt{24 + \sqrt{54}}$

Step 1

Rewrite $54$ as $3^{2} \cdot 6$ .

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Step 1.1

Factor $9$ out of $54$ .

$3 \sqrt{24 + \sqrt{9 (6)}}$

Step 1.2

Rewrite $9$ as $3^{2}$ .

$3 \sqrt{24 + \sqrt{3^{2} \cdot 6}}$

$3 \sqrt{24 + \sqrt{3^{2} \cdot 6}}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{24 + 3 \sqrt{6}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{24 + 3 \sqrt{6}}$

Decimal Form:

$16.79691111 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$