Basic Math Examples

$5 \sqrt{27} + 14 y \sqrt{36}$

Step 1

Rewrite $27$ as $3^{2} \cdot 3$ .

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Step 1.1

Factor $9$ out of $27$ .

$5 \sqrt{9 (3)} + 14 y \sqrt{36}$

Step 1.2

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

$5 \sqrt{3^{2} \cdot 3} + 14 y \sqrt{36}$

Step 2

Pull terms out from under the radical.

$5 (3 \sqrt{3}) + 14 y \sqrt{36}$

Step 3

Multiply $3$ by $5$ .

$15 \sqrt{3} + 14 y \sqrt{36}$

Step 4

Rewrite $36$ as $6^{2}$ .

$15 \sqrt{3} + 14 y \sqrt{6^{2}}$

Step 5

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

$15 \sqrt{3} + 14 y \cdot 6$

Step 6

Multiply $6$ by $14$ .

$15 \sqrt{3} + 84 y$