Question

(√a+√b) (√a-√b) is equal to​

Answer 1

Question:-

(√a+√b) (√a-√b) is equal to?

Answer:-

$= (√a+√b) (√a-√b) \\ = ({ \sqrt{a} })^{2} - ( { \sqrt{b} })^{2} \\ = {a}^{2} - {b}^{2}$

Answer 2

(√a+√b) (√a-√b) is equal to (a - b)

Solution :-

$= ( \sqrt{a} + \sqrt{b} )( \sqrt{a} - \sqrt{b} ) \\ = ( \sqrt{a} \times \sqrt{a} - \sqrt{a }\sqrt{b} + \sqrt{a} \sqrt{b} - \sqrt{b} \times \sqrt{b} \\ = ( \sqrt{a} \sqrt{a} - \sqrt{b} \sqrt{b} ) \\ = (a - b)$

(or)

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