(√ 32 + √ 48) / (√ 8 + √ 12) =?

(√32 + √48) / (√8 + √12)
= (√16 x 2 + √16 x 3) / (√4 x 2 + √4 x 3)
= (4√2 + 4√3) / (2√2 + 2√3)
= 4(√2 + √3) / 2(√2 + √3 ) = 2