Basic Math Examples

$\frac{- \sqrt{40}}{\sqrt{2}}$

Step 1

Combine $\sqrt{40}$ and $\sqrt{2}$ into a single radical.

$- \sqrt{\frac{40}{2}}$

Step 2

Divide $40$ by $2$ .

$- \sqrt{20}$

Step 3

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

Tap for more steps...

Step 3.1

Factor $4$ out of $20$ .

$- \sqrt{4 (5)}$

Step 3.2

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

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

Step 4

Pull terms out from under the radical.

$- (2 \sqrt{5})$

Step 5

Multiply $2$ by $- 1$ .

$- 2 \sqrt{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt{5}$

Decimal Form:

$- 4.47213595 \dots$