Question

PLEASE KINDLY SOLVE IT WITH EXPLANATION:)​

Answer 1

[D}
`5-2√(6)`

Explanation:

`\mathrm{Apply\:Perfect\:Square\:Formula}:`
`\quad \left(a-b\right)^2=a^2-2ab+b^2`

`\left(√(3)-√(2)\right)^2=\left(√(3)\right)^2-2√(3)√(2)+\left(√(2)\right)^2`

`=\left(√(3)\right)^2-2√(3)√(2)+\left(√(2)\right)^2`

`=5-2√(6)`

[RevyBreeze]

Answer 2

d) 5 - 2√6

Explanation:

We need to simply (√3 - √2)². Assume that √3 is 'a' and √2 is 'b'. At the present time, the given term looks like: (a - b)². And we know that (a - b)² = a² + b² - 2ab. Apply the same rule in (√3 - √2)².

→ (√3)² + (√2)² - 2(√3)(√2)

Square root can be written as ½ and square of ½ means 1 as 1/2 × 2 is 1. So,

→ 3 + 2 - 2√6

→ 5 - 2√6

Option (D) is the correct option among the other options.