Answer: 4
Step-by-step explanation:
The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:
x = k / ✓y
When x = 12, y = 9
We have to calculate the constant of proportionality, k which will be:
12 = k / ✓9
12 = k / 3
k = 12 × 3
k = 36
To find the value of x when y = 81 will be:
x = k / ✓y
x = 36 / ✓81
x = 36 / 9
x = 4
Therefore, x = 4 when y = 81.
