Question

(sqrt(3) - sqrt(2)) ^ 2​

Answer 1

Solution:

Given to evaluate,

= (√3 - √2)²

Using identity (a - b)² = a² - 2ab + b²,

= (√3)² - 2 × √3 × √2 + (√2)²

= 3 - 2√6 + 2

= 5 - 2√6

★ So, the result is – 5 - 2√6

Answer:

• 5 - 2√6

Learn More:

• (a + b)² = a² + 2ab + b²
• a² - b² = (a + b)(a - b)
• (a + b)³ = a³ + 3ab(a + b) + b³
• (a - b)³ = a³ - 3ab(a - b) - b³
• a³ + b³ = (a + b)(a² - ab + b²)
• a³ - b³ = (a - b)(a² + ab + b²)