Question

Simplify the given expression.
$(5+\sqrt{7})(2+\sqrt{5})$

Answer 1

Given expression:

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

$=5\times 2+5\times \sqrt{5}+\sqrt{7}\times 2+\sqrt{7}\times \sqrt{5}$

$=10+5\sqrt{5}+2\sqrt{7}+\sqrt{35}$ $[\because \sqrt{a}\times \sqrt{b}=\sqrt{ab}]$