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If sqrt(0.00576xxy)=2.4, then y is equal...

If `sqrt(0.00576xxy)=2.4`, then y is equal to :

A

3600

B

1200

C

1000

D

2400

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \sqrt{0.00576 \cdot y} = 2.4 \), we will follow these steps: ### Step 1: Square both sides of the equation To eliminate the square root, we square both sides of the equation: \[ (\sqrt{0.00576 \cdot y})^2 = (2.4)^2 \] This simplifies to: \[ 0.00576 \cdot y = 5.76 \] ### Step 2: Isolate \( y \) Next, we need to isolate \( y \) by dividing both sides of the equation by \( 0.00576 \): \[ y = \frac{5.76}{0.00576} \] ### Step 3: Perform the division Now, we will perform the division: \[ y = \frac{5.76}{0.00576} = 1000 \] ### Conclusion Thus, the value of \( y \) is: \[ \boxed{1000} \] ---
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