Algebra Examples

$x - \sqrt{5} = \sqrt{20}$

Step 1

Simplify $\sqrt{20}$ .

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Step 1.1

Rewrite $20$ as $2^{2} \cdot 5$ .

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Step 1.1.1

Factor $4$ out of $20$ .

$x - \sqrt{5} = \sqrt{4 (5)}$

Step 1.1.2

Rewrite $4$ as $2^{2}$ .

$x - \sqrt{5} = \sqrt{2^{2} \cdot 5}$

Step 1.2

Pull terms out from under the radical.

$x - \sqrt{5} = 2 \sqrt{5}$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Add $\sqrt{5}$ to both sides of the equation.

$x = 2 \sqrt{5} + \sqrt{5}$

Step 2.2

Add $2 \sqrt{5}$ and $\sqrt{5}$ .

$x = 3 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = 3 \sqrt{5}$

Decimal Form:

$x = 6.70820393 \dots$