Question

Hay mate,
Please answer step by step

Answer 1

$\frac{ \sqrt{32} + \sqrt{48} }{ \sqrt{8} + \sqrt{12} } \\ = \frac{ (\sqrt{16 \times 2}) +( \sqrt{16 \times 3} )}{ (\sqrt{4 \times 2} ) + ( \sqrt{4 \times 3} )} \\ = \frac{( \sqrt{16} )( \sqrt{2} ) + (\sqrt{16})( \sqrt{3}) }{ (\sqrt{4})( \sqrt{2}) + ( \sqrt{4} )( \sqrt{3} ) } \\ \\ = \frac{4 \sqrt{2} + 4 \sqrt{3} }{2 \sqrt{2} + 2 \sqrt{3} } \\ = \frac{2(2 \sqrt{2} + 2 \sqrt{3}) }{2( \sqrt{2} + \sqrt{3}) } \\ \\ = \frac{2( \sqrt{2} + \sqrt{3}) }{( \sqrt{2} + \sqrt{3} )} \\ \\ = 2$


Therefore option (A) is the correct one.

Answer 2

Hope You Will Like It!

=√32+√48/√8+√12

=√80/√20

=4√5/2√5

=4/2

=2

Hence, the answer is 2!