Question

a varies inversely as the square root of b. b = 36 when a = 4. Find the value of b when a = 16. = ​

Answer 1

The expression a varies inversely as the square root of b can be written as:

a=k/√b(eq.1)

where k is a constant.

Given, b= 36 when a=4

4=k/√36

4=k/6

k=24

squaring eq.1 we get,

a²=k²/b

4²=24²/b

b=24²/16

b=576/16

b=36