Question

(√3-√2)^2

pls answer guys
​

Answer 1

⟹ (√3-√2)²

❍ By using the identity (a-b)²= a²+b²-2ab

⟹ (√3)²+(√2)²-2(√3×√2)

⟹ 3+2-2√6

⟹ 5-2√6

★ The answer is (5-2√6)

Answer 2

Answer=$5 - 2 \sqrt{6}$

Solution:

•$( \sqrt{3} - \sqrt{2} \: \: )^{2}$

Identity=$(a - b)^{2} = {a}^{2} + {b}^{2} - 2ab$

=$(\sqrt{3} \: )^{2} + ( \sqrt{2} \: ) ^{2} - 2( \sqrt{3} \times \sqrt{2} )$

=$3 + 2 - 2 \sqrt{6}$

=$5 - 2 \sqrt{6}$