Basic Math Examples

$\sqrt{54 u^{16}}$

Step 1

Rewrite $54 u^{16}$ as ${(3 u^{8})}^{2} \cdot 6$ .

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Step 1.1

Factor $9$ out of $54$ .

$\sqrt{9 (6) u^{16}}$

Step 1.2

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

$\sqrt{3^{2} \cdot 6 u^{16}}$

Step 1.3

Rewrite $u^{16}$ as ${(u^{8})}^{2}$ .

$\sqrt{3^{2} \cdot 6 {(u^{8})}^{2}}$

Step 1.4

Move $6$ .

$\sqrt{3^{2} {(u^{8})}^{2} \cdot 6}$

Step 1.5

Rewrite $3^{2} {(u^{8})}^{2}$ as ${(3 u^{8})}^{2}$ .

$\sqrt{{(3 u^{8})}^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$3 u^{8} \sqrt{6}$