(i) (√5 + √2)2
We need to apply the formula (a + b)2 = a2 +2ab + b2 to find value of (√5 + √2)2
(√5 + √2)2 = (√5)2 + 2 x √5 x √2 + (√2)2
= 5 + 2√10 + 2
= 7 + 2√10
Therefore, on simplifying (√5 √2)2, we get 7+2√0.
(ii) (√5 - √2) (√5 + √2)
We need to apply the formula (a - b) (a + b) = a2 - b2 to find value of (√5 + √2)2
(√5 - √2) (√5 + √2) =(√5)2 - (√2)2
= 5 - 2 = 3
Therefore, on simplifying (√5 - √2) (√5 + √2), we get 3.