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What value will come in place of questio...

What value will come in place of question mark (?) in the questions given below?
`(1)/(sqrt14161) xx 29155 = ?`

A

235

B

245

C

248

D

255

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{1}{\sqrt{14161}} \times 29155 = ? \), we will follow these steps: ### Step 1: Calculate the square root of 14161 First, we need to find \( \sqrt{14161} \). To do this, we can factor 14161: - 14161 can be checked for perfect squares. - By testing, we find that \( 119 \times 119 = 14161 \). Thus, \( \sqrt{14161} = 119 \). ### Step 2: Substitute the square root back into the equation Now we substitute \( \sqrt{14161} \) back into the equation: \[ \frac{1}{\sqrt{14161}} = \frac{1}{119} \] So the equation becomes: \[ \frac{1}{119} \times 29155 \] ### Step 3: Perform the multiplication Next, we need to multiply \( \frac{1}{119} \) by 29155: \[ \frac{29155}{119} \] ### Step 4: Divide 29155 by 119 Now we perform the division: \[ 29155 \div 119 \] Calculating this gives: \[ 29155 \div 119 = 245 \] ### Conclusion Thus, the value that comes in place of the question mark (?) is: \[ \boxed{245} \] ---
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