If x$$=\frac{\sqrt{1875}}{\sqrt{3888}} \div \frac{\sqrt{1200}}{\sqrt{768}} \times \frac{\sqrt{175}}{\sqrt{1792}}$$. Find $$\sqrt x$$.​

Correct option is A

Given :

x$$=\frac{\sqrt{1875}}{\sqrt{3888}} \div \frac{\sqrt{1200}}{\sqrt{768}} \times \frac{\sqrt{175}}{\sqrt{1792}}$$​​​​

Solution :

x$$=\frac{\sqrt{1875}}{\sqrt{3888}} \times \frac{\sqrt{768}}{\sqrt{1200}} \times \frac{\sqrt{175}}{\sqrt{1792}}$$​​

x$$=\sqrt{\frac{1875 \times 768 \times 175}{3888 \times 1200 \times 1792}}$$​​

x$$=\frac{25}{144}$$​​

​$$\sqrt{x}=\sqrt{\frac{25}{144}}=\frac{5}{12}$$​​