Question

On simplifying, the ratio $\sqrt{36}:\sqrt{9}$ equals .

• A. 2:1
• B. 3:1
• C. 4:1

Answer 1

The correct option is A 2:1

$\sqrt{36}:\sqrt{9}\Rightarrow \frac{\sqrt{36}}{\sqrt{9}}$

If x and y are positive numbers, $\frac{\sqrt{x}}{\sqrt{y}}=\sqrt{\frac{x}{y}}$

$\Rightarrow \frac{\sqrt{36}}{\sqrt{9}}=\sqrt{\frac{36}{9}}$

$\Rightarrow \frac{\sqrt{36}}{\sqrt{9}}=\sqrt{4}=2$

So, $\sqrt{36}:\sqrt{9}=2:1$