Question

Simplfy the expression 3/5 root 48- root 75

Answer 1

Dear Student,



Solution:

$\frac{3}{5 \sqrt{48} - \sqrt{75} } \\ \\ = \frac{3}{5 \sqrt{16 \times 3} - \sqrt{25 \times 3} } \\ \\ = \frac{3}{5 \times 4 \sqrt{3} - 5 \sqrt{3} } \\ \\ = \frac{3}{20 \sqrt{3} - 5 \sqrt{3} } \\ \\ = \frac{3}{15 \sqrt{3} } \\ \\ = \frac{1}{5 \sqrt{3} } \: \: \: \: \: \: \: \: \: \\ \\ or\\ \\ = \frac{1}{5 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{ \sqrt{3} }{15}$
Hope it helps you.