Question

A= (√3 +√2)² - (√3 - √2)²

Answer 1

$ANSWER:$

$4 \sqrt{6}$

$Step-by-step \: \: verification:$

GIVEN,

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

OR,

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

$= 3 + 2 \sqrt{6} + 2 - 3 + 2 \sqrt{6} - 2 \\ = 4 \sqrt{6}$

SO, 4√6 IS YOUR ANSWER

Answer 2

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

=(√3)^2+(√2)^2+2×√3×√2-[(√3)^2+(√2)^2-2×√3×√2

=3+2+2√6-[3+2-2√6]

=5+2√6-[5-2√6]

=5+2√6-5+2√6

=4√6
So, your answer is 4√6

Remember ::::::::

(X+Y)^2=X^2+Y^2+2XY

(X-Y)^2=X^2+Y^2-2XY