Question

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

Answer 1

SOLUTION :

$= (5 + \sqrt{7} )(2 + \sqrt{5} ) \\ = 5(2 + \sqrt{5} ) + \sqrt{7} (2 + \sqrt{5} ) \\ = (5 \times 2) +( 5 \times \sqrt{5} ) + ( \sqrt{7} \times 2) + ( \sqrt{7} \times \sqrt{5} ) \\ = 10 + 5 \sqrt{5} + 2 \sqrt{7} + \sqrt{35}$

Answer 2

(5+√7)+(2+√5)
5(2+√5)+√7(2+√5)
10+5√5+7√2+√35