Question

simplify the following (√3+√2)^2​

Answer 1

(√3 + √2)²

=> (√3)² + (√2)² + 2 × √3 × √2

=> 3 + 2 + 2√6

=> 5 + 2√6

Answer 2

Solution:-

=) ( √3 + √2)²

=) (√3)² + (√2)² + 2(√3)(√2)

=) 3 + 2 + 2√6

=) 5 + 2√6.

Identify Used:-

( a + b)² = a² + b² + 2ab

( a - b)² = a² + b² - 2ab

( a-b)(a+b) = a² - b²

( a³ - b³) = ( a-b)³ + 3ab(a-b)

( a³ + b³) = ( a+b)³ - 3ab( a+b)

( a+b)³ = a³ + b³ + 3ab( a+b)

( a-b)³ = a³ - b³ - 3ab( a-b)