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What will come in place of question mark...

What will come in place of question mark (?) in the following questions
`sqrt(841) + sqrt(1296) - sqrt(1024) = sqrt(?)`

A

1156

B

1089

C

1024

D

961

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \sqrt{841} + \sqrt{1296} - \sqrt{1024} = \sqrt{?} \), we will follow these steps: ### Step 1: Calculate \( \sqrt{841} \) We know that: \[ \sqrt{841} = 29 \] ### Step 2: Calculate \( \sqrt{1296} \) Next, we calculate: \[ \sqrt{1296} = 36 \] ### Step 3: Calculate \( \sqrt{1024} \) Now, we find: \[ \sqrt{1024} = 32 \] ### Step 4: Substitute the values into the equation Now we substitute these values back into the equation: \[ 29 + 36 - 32 \] ### Step 5: Perform the addition and subtraction Calculating the expression gives us: \[ 29 + 36 = 65 \] Then, \[ 65 - 32 = 33 \] ### Step 6: Set the equation to find the value of \( ? \) Now we have: \[ \sqrt{?} = 33 \] ### Step 7: Square both sides to solve for \( ? \) To find \( ? \), we square both sides: \[ ? = 33^2 \] Calculating \( 33^2 \): \[ ? = 1089 \] ### Conclusion Thus, the value that comes in place of the question mark is: \[ \boxed{1089} \]
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