What is the square root of 7744?
Understand the Problem
The question is asking for the square root of the number 7744. To find the square root, we will identify the number that, when multiplied by itself, equals 7744.
Answer
The square root of 7744 is \( 88 \).
Answer for screen readers
The square root of 7744 is ( 88 ).
Steps to Solve
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Identify the number for multiplication To find the square root, we need to determine which number, when multiplied by itself, gives us 7744.
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Estimate the square root We start by estimating the square root since $88^2 = 7744$.
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Use the square root property We confirm by calculating $88 \times 88$ to check if it equals 7744: $$ 88 \times 88 = 7744 $$
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Conclusion Thus, we can conclude that the square root of 7744 is the number we determined.
The square root of 7744 is ( 88 ).
More Information
Finding the square root of a number involves identifying a value that, when squared, results in that number. The square root can be calculated using various methods, including estimation, factoring, or using a calculator. In this case, ( 88 \times 88 = 7744 ), confirming the square root.
Tips
- Overlooking factors: Some may try to factor the number instead of recognizing it as a perfect square.
- Incorrect estimation: Underestimating or overestimating the square root can lead to confusion; it's important to start with rough estimates and refine.
