Question
What is the square root of 6561?
This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is
81
Square Root of 6561 Calculation
The question asks for the square root of 6561, denoted mathematically as $\sqrt{6561}$. We need to find a number which, when multiplied by itself, yields 6561.
Square Root Estimation
- Estimate the range: Consider perfect squares around 6561. We know $80^2 = 80 \times 80 = 6400$ and $90^2 = 90 \times 90 = 8100$. Since $6400 < 6561 < 8100$, the square root of 6561 must lie between 80 and 90.
- Analyze the last digit: The number 6561 ends with the digit 1. An integer's square ends in 1 only if the integer itself ends in 1 or 9 (because $1^2 = 1$ and $9^2 = 81$, which ends in 1).
- Identify potential candidates: Based on the range (80-90) and the last digit analysis (ending in 1 or 9), the possible candidates for the square root are 81 and 89.
- Test the candidates:
- Calculate $81 \times 81$. This equals 6561.
- Calculate $89 \times 89$. This equals 7921.
- Determine the result: Since $81 \times 81 = 6561$, the square root of 6561 is 81.
Square Root Result
The square root of 6561 is 81.
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