Algebra Examples

$\sqrt{3^{2} + 4^{2} + 5^{2}}$

Step 1

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

$\sqrt{9 + 4^{2} + 5^{2}}$

Step 2

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

$\sqrt{9 + 16 + 5^{2}}$

Step 3

Raise $5$ to the power of $2$ .

$\sqrt{9 + 16 + 25}$

Step 4

Add $9$ and $16$ .

$\sqrt{25 + 25}$

Step 5

Add $25$ and $25$ .

$\sqrt{50}$

Step 6

Rewrite $50$ as $5^{2} \cdot 2$ .

Tap for more steps...

Step 6.1

Factor $25$ out of $50$ .

$\sqrt{25 (2)}$

Step 6.2

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

$\sqrt{5^{2} \cdot 2}$

$\sqrt{5^{2} \cdot 2}$

Step 7

Pull terms out from under the radical.

$5 \sqrt{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{2}$

Decimal Form:

$7.07106781 \dots$

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