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What will come in place of the question ...

What will come in place of the question mark (?) in the given questions ?
`sqrt((576))+sqrt((1764))=sqrt((?))`

A

4356

B

2916

C

3136

D

3844

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \sqrt{576} + \sqrt{1764} = \sqrt{?} \), we will follow these steps: ### Step 1: Calculate \( \sqrt{576} \) - We need to find the square root of 576. - \( \sqrt{576} = 24 \) **Hint:** To find the square root, look for a number that, when multiplied by itself, gives you 576. ### Step 2: Calculate \( \sqrt{1764} \) - Next, we find the square root of 1764. - \( \sqrt{1764} = 42 \) **Hint:** Again, find a number that, when multiplied by itself, results in 1764. ### Step 3: Add the results from Step 1 and Step 2 - Now, we add the two square roots together. - \( 24 + 42 = 66 \) **Hint:** Simply perform the addition of the two numbers obtained from the square roots. ### Step 4: Set up the equation - We now have \( \sqrt{?} = 66 \). - To find the value of ?, we need to square both sides of the equation. **Hint:** Remember that squaring a number means multiplying it by itself. ### Step 5: Square the result from Step 3 - \( 66^2 = 4356 \) **Hint:** Calculate \( 66 \times 66 \) to find the value of the question mark. ### Conclusion - Therefore, the value that comes in place of the question mark is \( 4356 \). **Final Answer:** \( ? = 4356 \)
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