Find the Magnitude (-3,4)

$(- 3, 4)$

Step 1

Use the magnitude formula.

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

Step 2

Substitute $- 3$ for $x$ and $4$ for $y$ .

$\sqrt{{(- 3)}^{2} + 4^{2}}$

Step 3

Simplify.

Raise $- 3$ to the power of $2$ .

$\sqrt{9 + 4^{2}}$

Raise $4$ to the power of $2$ .

$\sqrt{9 + 16}$

Add $9$ and $16$ .

$\sqrt{25}$

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

$\sqrt{5^{2}}$

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

$5$