By rationalizing the denominator, simplify the following: 3√2-4√3 √3+2√2

Q: Use the identity (a + b)2 = a2 + 2ab + b2 to calculate 322

A: Let us take, 32 as (20+12) which is of the form (a+b). where a=20 and b=12.

Q: Multiply and simplify the following expressions: a) (√2+√3)^2 b) 3√75 3√90

A: a) (√2+√3)^2 = √22 + √32 + 2(√2)(√3) = 2 + 3 + 2√6 = 5 + √24