Question

सोपे रूप द्या: $\frac{4}{5}\sqrt{147} + \frac{3}{8}\sqrt{192}-\frac{1}{5}\sqrt{75}$

Answer 1

$\frac{4}{5} \sqrt{147} + \frac{3}{8} \sqrt{192} + \frac{1}{5} \sqrt{75} \\ = \frac{4}{5} \sqrt{7 \times 7 \times 3} + \frac{3}{8} \sqrt{8 \times8 \times 3} + \frac{1}{5} \sqrt{5 \times 5 \times 3}$

$= \frac{28}{5} \sqrt{3} + 3 \sqrt{3} + \sqrt{3}$

$= \sqrt{3} \times ( \frac{28}{5} + 3 + 1) \\ = \sqrt{3} \times (5.6 + 4) \\ = \sqrt{3} \times 9.6 \\ = 9.6 \sqrt{3}$

but looks like question should be

$\frac{4}{7} \sqrt{147} + \frac{3}{8} \sqrt{192} + \frac{1}{5} \sqrt{75} \\ = \frac{4}{7} \sqrt{7 \times 7 \times 3} + \frac{3}{8} \sqrt{8 \times8 \times 3} + \frac{1}{5} \sqrt{5 \times 5 \times 3} \\ = 4 \sqrt{3} + 3 \sqrt{3} + \sqrt{3} \\ = 8 \sqrt{3}$