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Find the value of question mark(?) in th...

Find the value of question mark(?) in the following questions ?
`sqrt(1024) xx sqrt?=768`

A

28

B

576

C

676

D

24

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \sqrt{1024} \times \sqrt{?} = 768 \), we will follow these steps: ### Step 1: Simplify \( \sqrt{1024} \) First, we need to find the value of \( \sqrt{1024} \). \[ \sqrt{1024} = 32 \] ### Step 2: Substitute into the equation Now, we can substitute \( \sqrt{1024} \) back into the equation: \[ 32 \times \sqrt{?} = 768 \] ### Step 3: Isolate \( \sqrt{?} \) Next, we will isolate \( \sqrt{?} \) by dividing both sides of the equation by 32: \[ \sqrt{?} = \frac{768}{32} \] ### Step 4: Calculate \( \frac{768}{32} \) Now, we perform the division: \[ \frac{768}{32} = 24 \] ### Step 5: Square both sides To find the value of \( ? \), we square both sides of the equation: \[ ? = 24^2 \] ### Step 6: Calculate \( 24^2 \) Finally, we calculate \( 24^2 \): \[ 24^2 = 576 \] Thus, the value of the question mark \( ? \) is: \[ ? = 576 \] ### Final Answer: The value of the question mark is \( 576 \). ---
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