Basic Math Examples

$(3 \sqrt{3} + \sqrt{11}) (\sqrt{3 - 5 \sqrt{11}})$

Step 1

Apply the distributive property.

$3 \sqrt{3} \sqrt{3 - 5 \sqrt{11}} + \sqrt{11} \sqrt{3 - 5 \sqrt{11}}$

Step 2

Combine using the product rule for radicals.

$3 \sqrt{(3 - 5 \sqrt{11}) \cdot 3} + \sqrt{11} \sqrt{3 - 5 \sqrt{11}}$

Step 3

Combine using the product rule for radicals.

$3 \sqrt{(3 - 5 \sqrt{11}) \cdot 3} + \sqrt{11 (3 - 5 \sqrt{11})}$