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250/sqrt(?)=10...

`250/sqrt(?)=10`

A

25

B

250

C

625

D

2500

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{250}{\sqrt{?}} = 10 \), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ \frac{250}{\sqrt{?}} = 10 \] ### Step 2: Cross-multiply To eliminate the fraction, we can cross-multiply: \[ 250 = 10 \cdot \sqrt{?} \] ### Step 3: Isolate the square root Next, we want to isolate \( \sqrt{?} \). We do this by dividing both sides by 10: \[ \sqrt{?} = \frac{250}{10} \] ### Step 4: Simplify the right side Now we simplify the right side: \[ \sqrt{?} = 25 \] ### Step 5: Square both sides To find the value of \( ? \), we square both sides of the equation: \[ ? = 25^2 \] ### Step 6: Calculate \( 25^2 \) Now we calculate \( 25^2 \): \[ ? = 625 \] Thus, the value of \( ? \) is \( 625 \). ### Final Answer: The value of \( ? \) is \( 625 \). ---
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