Sunil applied ………………….. identity to solve (√5 + √7)(√5 − √7)

Question

asked Jul 16, 2024 62.8k views

1 Answer

Asdfkjasdfjk · Answer 1 · 2024-07-20T10:25:27+0000

Sunil used the difference of squares identity to solve the expression (√5 + √7)(√5 − √7), resulting in a value of -2.

Sunil is applying the algebraic identity (a+b)(a-b) = a² - b² to solve the expression (√5 + √7)(√5 − √7). Here's how it works:

Following the identity (a+b)(a-b) = a² - b², set a equal to √5 and b equal to √7.
When you square a, you get 5 (since (√5)² = 5). Similarly, squaring b gives 7 (since (√7)² = 7).
Last, subtract the square of √7 from the square of √5 to get (5-7) which equals -2.

So, (√5 + √7)(√5 − √7) = -2 according to the identity used.