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What will come in place of (?) question ...

What will come in place of (?) question mark.
`(14)^(2) + 179 + (5)^(2) = (?)^(2)`

A

10

B

20

C

30

D

40

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( (14)^2 + 179 + (5)^2 = (?)^2 \), we will follow these steps: ### Step 1: Calculate \( (14)^2 \) \[ (14)^2 = 196 \] ### Step 2: Calculate \( (5)^2 \) \[ (5)^2 = 25 \] ### Step 3: Substitute the values into the equation Now, substitute the values we calculated into the equation: \[ 196 + 179 + 25 = (?)^2 \] ### Step 4: Add the numbers on the left side First, add \( 196 \) and \( 179 \): \[ 196 + 179 = 375 \] Now add \( 25 \): \[ 375 + 25 = 400 \] ### Step 5: Set the equation Now we have: \[ 400 = (?)^2 \] ### Step 6: Take the square root of both sides To find \( ? \), take the square root of \( 400 \): \[ ? = \sqrt{400} = 20 \] ### Conclusion Thus, the value that comes in place of the question mark is: \[ \boxed{20} \]
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