Algebra Examples

$\sqrt{75 x^{2}} y$

Step 1

Rewrite $75 x^{2}$ as ${(5 x)}^{2} \cdot 3$ .

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Step 1.1

Factor $25$ out of $75$ .

$\sqrt{25 (3) x^{2}} y$

Step 1.2

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 3 x^{2}} y$

Step 1.3

Move $3$ .

$\sqrt{5^{2} x^{2} \cdot 3} y$

Step 1.4

Rewrite $5^{2} x^{2}$ as ${(5 x)}^{2}$ .

$\sqrt{{(5 x)}^{2} \cdot 3} y$

Step 2

Pull terms out from under the radical.

$| 5 x | \sqrt{3} y$

Step 3

Remove non-negative terms from the absolute value.

$5 | x | \sqrt{3} y$