x varies directly as the square root of y and the square of z. Given that x = 9 when y = 144 and z = 4 , find the value of y when x = 27 and z = 6.
Question
Solution 1
To solve this problem, we first need to understand the relationship between x, y, and z. Since x varies directly as the square root of y and the square of z, we can write this relationship as:
x = k * sqrt(y) * z^2
where k is the constant of variation.
Step 1: Find the constant of variation (k)
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