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What will come in the place of question mark (?) in following questions?
`(sqrt(82+46+16+52)) xx (sqrt(200xx 5-39))`= ?

A

635

B

534

C

346

D

434

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation `(sqrt(82+46+16+52)) xx (sqrt(200xx 5-39)) = ?`, we will follow these steps: ### Step 1: Calculate the sum inside the first square root We need to add the numbers 82, 46, 16, and 52. \[ 82 + 46 + 16 + 52 = 196 \] ### Step 2: Calculate the square root of the sum Now we take the square root of the sum we calculated in Step 1. \[ \sqrt{196} = 14 \] ### Step 3: Calculate the expression inside the second square root Now we need to calculate the expression inside the second square root, which is \(200 \times 5 - 39\). \[ 200 \times 5 = 1000 \] \[ 1000 - 39 = 961 \] ### Step 4: Calculate the square root of the result from Step 3 Next, we take the square root of the result we calculated in Step 3. \[ \sqrt{961} = 31 \] ### Step 5: Multiply the results from Step 2 and Step 4 Now we multiply the results from Step 2 and Step 4. \[ 14 \times 31 = 434 \] ### Final Answer Thus, the value that comes in place of the question mark (?) is: \[ \boxed{434} \]
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