Question

The value of (√32+ √48)/(√8+ √12) is equal to ____________. √2 2 4 √5

Answer 1

√32 + √48 /√8 + √12

√4*√8 + √4*√12/√8+√12    (√4*√8=√32,√4 * √12 = √48)

2√8 + 2√12/√8+√12      ( √4=2 )

2(√8+√12)/1(√8+√12)   ( 2 taken common and 1 taken common)

ans = 2/1= 2                 (√8+√12 cancelled out]

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

$\textsf{Given}$

$\sf{ \frac{ \sqrt{32} + \sqrt{48} }{ \sqrt{8} + \sqrt{12} } }$

$\sf{ = \frac{ \sqrt{16 \times 2} + \sqrt{16 \times 3} }{ \sqrt{4 \times 2} + \sqrt{4 \times 3} } }$

$\sf{ = \frac{4 \sqrt{2} + 4 \sqrt{3} }{2 \sqrt{2} + 2 \sqrt{3} } }$

$\sf{ = \frac{4 ( \sqrt{2 } + \sqrt{3}) }{2( \sqrt{2} + \sqrt{3} )} }$

$\sf{ = \frac{4}{2} }$

$\sf{ = 2 \:Ans. }$