Mathway

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Take a photo of your math problem on the app

Examples

$2 + 3 i$

Step 1

Use the formula

$| a + b i | = \sqrt{a^{2} + b^{2}}$ to find the magnitude.

$\sqrt{2^{2} + 3^{2}}$

Step 2

Raise

$2$ to the power of

$2$ .

$\sqrt{4 + 3^{2}}$

Step 3

Raise

$3$ to the power of

$2$ .

$\sqrt{4 + 9}$

Step 4

Add

$4$ and

$9$ .

$\sqrt{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{13}$

Decimal Form:

$3.60555127 \dots$

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