Algebra Examples

$x \sqrt{2} = \sqrt{288}$

Step 1

Divide each term in $x \sqrt{2} = \sqrt{288}$ by $\sqrt{2}$ .

$\frac{x \sqrt{2}}{\sqrt{2}} = \frac{\sqrt{288}}{\sqrt{2}}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $\sqrt{2}$ .

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Step 2.1.1

Cancel the common factor.

$\frac{x \sqrt{2}}{\sqrt{2}} = \frac{\sqrt{288}}{\sqrt{2}}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{\sqrt{288}}{\sqrt{2}}$

Step 3

Simplify the right side.

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Step 3.1

Combine $\sqrt{288}$ and $\sqrt{2}$ into a single radical.

$x = \sqrt{\frac{288}{2}}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Divide $288$ by $2$ .

$x = \sqrt{144}$

Step 3.2.2

Rewrite $144$ as $12^{2}$ .

$x = \sqrt{12^{2}}$

Step 3.2.3

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

$x = 12$