Question
Simplify:
$\big(5+\sqrt{7}\big)\big(2+\sqrt{5}\big)$
$\big(5+\sqrt{7}\big)\big(2+\sqrt{5}\big)$
✓
Answer
$\big(5+\sqrt{7}\big)\big(2+\sqrt{5}\big)$
$=5\times2+5\times\sqrt{5}+2\times\sqrt{7}+\sqrt{5}\times\sqrt{7}$
$=10+5\sqrt{5}+2\sqrt{7}+\sqrt{35}$
$=5\times2+5\times\sqrt{5}+2\times\sqrt{7}+\sqrt{5}\times\sqrt{7}$
$=10+5\sqrt{5}+2\sqrt{7}+\sqrt{35}$
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