What is the value of (√(18) + √(2))² - (√(8)+√(2))²

What is the value of $(\sqrt{18} + \sqrt{2})^{2} - (\sqrt{8}+\sqrt{2})^{2}$

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 14.

(a + b)² = a² + b² + 2ab

$(\sqrt{18} + \sqrt{2})^{2} - (\sqrt{8}+\sqrt{2})^{2}$

= (18 + 2 + 2√36) – (8 + 2 + 2√16)

= 18 + 2 + 2√36 – 8 – 2 – 2√16

= 10 + 12 – 8

= 14

SSC CGL 2025 PYQ — Question 73