Algebra Examples

$(- 2, 2)$

Step 1

Use the magnitude formula.

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

Step 2

Substitute $- 2$ for $x$ and $2$ for $y$ .

$\sqrt{{(- 2)}^{2} + 2^{2}}$

Step 3

Simplify.

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Step 3.1

Raise $- 2$ to the power of $2$ .

$\sqrt{4 + 2^{2}}$

Step 3.2

Raise $2$ to the power of $2$ .

$\sqrt{4 + 4}$

Step 3.3

Add $4$ and $4$ .

$\sqrt{8}$

Step 3.4

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 3.4.1

Factor $4$ out of $8$ .

$\sqrt{4 (2)}$

Step 3.4.2

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

$\sqrt{2^{2} \cdot 2}$

$\sqrt{2^{2} \cdot 2}$

Step 3.5

Pull terms out from under the radical.

$2 \sqrt{2}$

$2 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$