Basic Math Examples

$\sqrt{7} + 2 \sqrt{5} \cdot (4 \sqrt{7}) + \sqrt{5}$

Step 1

Multiply $4$ by $2$ .

$\sqrt{7} + 8 \sqrt{5} \sqrt{7} + \sqrt{5}$

Step 2

Combine using the product rule for radicals.

$\sqrt{7} + 8 \sqrt{7 \cdot 5} + \sqrt{5}$

Step 3

Multiply $7$ by $5$ .

$\sqrt{7} + 8 \sqrt{35} + \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{7} + 8 \sqrt{35} + \sqrt{5}$

Decimal Form:

$52.21045755 \dots$