Question

what is the value of
$1$
​

Answer 1

Answer:

3/2.

Step-by-step explanation:

$\frac{ \sqrt{162} + \sqrt{108} }{ \sqrt{72} + \sqrt{48} } \\ = \frac{9 \sqrt{2} + 6 \sqrt{3} }{6 \sqrt{2} + 4 \sqrt{3} } \\ = \frac{3(3 \sqrt{2} + 2 \sqrt{3} )}{2(3 \sqrt{2} + 2 \sqrt{3} )} \\ =\frac{3}{2} .$