Question

If ‘a’is inversely proportional to √b and a=6 when b=4. What is the value of b when a=4​

Answer 1

Answer:

$b = \frac{1}{9}$

Step-by-step explanation:

$a \: is \: inversely\: proportional \: to \: b \: \\ a = \frac{k}{ \sqrt{b} } \: \\ 6 = \frac{k}{ \sqrt{4} } \\ 12 = k \\ now \:a = 4 \: therefore \: \sqrt{b} = \frac{4}{12 } \\ b = { \frac{1}{3}}^{2} \\ b = \frac{1}{9}$