Basic Math Examples

$\frac{3 \sqrt{54 a^{4}}}{16 y^{6}}$

Step 1

Rewrite $54 a^{4}$ as ${(3 a^{2})}^{2} \cdot 6$ .

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Step 1.1

Factor $9$ out of $54$ .

$\frac{3 \sqrt{9 (6) a^{4}}}{16 y^{6}}$

Step 1.2

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

$\frac{3 \sqrt{3^{2} \cdot 6 a^{4}}}{16 y^{6}}$

Step 1.3

Rewrite $a^{4}$ as ${(a^{2})}^{2}$ .

$\frac{3 \sqrt{3^{2} \cdot 6 {(a^{2})}^{2}}}{16 y^{6}}$

Step 1.4

Move $6$ .

$\frac{3 \sqrt{3^{2} {(a^{2})}^{2} \cdot 6}}{16 y^{6}}$

Step 1.5

Rewrite $3^{2} {(a^{2})}^{2}$ as ${(3 a^{2})}^{2}$ .

$\frac{3 \sqrt{{(3 a^{2})}^{2} \cdot 6}}{16 y^{6}}$

Step 2

Pull terms out from under the radical.

$\frac{3 \cdot 3 a^{2} \sqrt{6}}{16 y^{6}}$

Step 3

Multiply $3$ by $3$ .

$\frac{9 a^{2} \sqrt{6}}{16 y^{6}}$