Question : If $\sqrt{a}=3b$, then $\frac{a}{b^2}$ is equal to:
Option 1: $\frac{1}{6}$
Option 2: $6$
Option 3: $\frac{1}{9}$
Option 4: $9$

Question

Question : If $\sqrt{a}=3b$, then $\frac{a}{b^2}$ is equal to:

Option 1: $\frac{1}{6}$

Option 2: $6$

Option 3: $\frac{1}{9}$

Option 4: $9$

Team Careers360 · Accepted Answer

Correct Answer: $9$

Solution : Given:
$\sqrt{a}=3b$
Squaring both sides we get,
⇒ $a = 9b^2$
⇒ $\frac{a}{b^2} = 9$
Hence, the correct answer is $9$.

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Question : If $\sqrt{a}=3b$, then $\frac{a}{b^2}$ is equal to:Option 1: $\frac{1}{6}$Option 2: $6$Option 3: $\frac{1}{9}$Option 4: $9$

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Question : If $\sqrt{a}=3b$, then $\frac{a}{b^2}$ is equal to:
Option 1: $\frac{1}{6}$
Option 2: $6$
Option 3: $\frac{1}{9}$
Option 4: $9$