If $$\sqrt{\smash[b]{625}}$$ ÷ $$\sqrt{\smash[b]{x}}$$ = $$\tfrac{1}{5}$$, then x = ?​​

Correct option is B

Given:

If $$\sqrt{\smash[b]{625}}$$​ ÷ $$\sqrt{\smash[b]{x}}$$ = $$\tfrac{1}{5}$$, then $$x$$​ = ?​

Solution:

=$$\frac{\sqrt{625}}{\sqrt{x}}= \frac{1}{5}$$

=$$\frac{25}{\sqrt{x}}= \frac{1}{5}$$ 

=25×5 = $$\sqrt{x}$$

= 125= $$\sqrt{x}$$

= $$x$$ = $$(125)^2$$ 

=$$x$$ = 15625

Thus the correct answer is (B)