Question

Find the value? Of given sum

Answer 1

Answer:

View the attachment.

hope it's gonna help you...☺

Answer 2

Answer:

$\frac{ \sqrt{75} - \sqrt{20} - \sqrt{48} + \sqrt{45} }{ \sqrt{180} + \sqrt{108} } \\ = \frac{ \sqrt{25 \times 3} - \sqrt{4 \times 5} - \sqrt{16 \times 3} + \sqrt{9 \times 5} }{ \sqrt{36 \times 5} + \sqrt{36 \times 3} } \\ = \frac{5 \sqrt{3} - 2 \sqrt{5} - 4 \sqrt{3} + 3 \sqrt{5} }{6 \sqrt{5} + 6 \sqrt{3} } \\ = \frac{5 \sqrt{3} - 4 \sqrt{3} + 3 \sqrt{5} - 2 \sqrt{5} }{6( \sqrt{5} + \sqrt{3}) } \\ = \frac{ \sqrt{3} + \sqrt{5} }{6( \sqrt{5} + \sqrt{3})} \\ = \frac{1}{6}$