Question

Solve the following:-(i) (√5+√3)(√5-√3) (ii) (√5+√7 ) square​

Answer 1

Answer:

1) 2

2)12+2√35

Step-by-step explanation:

expand and multiply

Answer 2

Answer:

(i) 2 (ii) 12+2√35

Step-by-step explanation:

(i)

(√5+√3)(√5-√3)

Using identity => a^2-b^2=(a+b) (a-b)

(√5)^2-(√3)^2

=5-3

=2

(ii)

(√5+√7)^2

Using identity => (a+b)^2=a^2 + b^2 +2ab

$( \sqrt{5} + \sqrt{7} )^{2} \\ = ( \sqrt{5}) ^{2} + ( \sqrt{7} )^{2} + 2( \sqrt{5} )( \sqrt{7} ) \\ = 5 + 7 + 2 \sqrt{35} \\ = 12 + 2 \sqrt{35}$