Question

simplify (5+√5)(5√5)

Answer 1

$(5 + \sqrt{5} )(5 - \sqrt{5} ) = {(5)}^{2} - {( \sqrt{5} )}^{2}$

$= 25 - 5 = 20$

Answer:

(5+√5)(5-√5) = 20

Answer 2

Answer:

$(5 + \sqrt{5} )(5 + \sqrt{5} ) \\ = ( {5})^{2} + ( { \sqrt{5} })^{2} + 2 \times 5 \times \sqrt{5} \\ = 25 + 5 + \sqrt[10]{5} \\ = 30 + \sqrt[10]{5} \\ \\ identity \: used = (a + b) ^{2} = {a}^{2} + {b}^{2} + 2ab$