Question

Simplify (5-√2)(5+2)​

Answer 1

Answer:

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.

Answer 2

Step-by-step explanation:

This is the answer.

(a+b) (a- b) =a²-b²