What is the square root of 7569?
Understand the Problem
The question is asking for the square root of the number 7569. To solve this, we need to find a number that when multiplied by itself equals 7569.
Answer
The square root of 7569 is $87$.
Answer for screen readers
The square root of 7569 is $87$.
Steps to Solve
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Identify the operation needed To find the square root of 7569, we need to determine a number $x$ such that $x^2 = 7569$.
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Calculate or deduce the square root We can either use a calculator or recognize that the square root is the opposite of squaring a number. Therefore, we apply the square root operation: $$ x = \sqrt{7569} $$
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Perform the calculation Using a calculator or estimation, we find: $$ x = 87 $$
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Verify the result To confirm our answer, we should square the result: $$ 87^2 = 7569 $$ This verifies that we have found the correct square root.
The square root of 7569 is $87$.
More Information
Finding the square root is a common operation in mathematics, often used in various applications, from solving quadratic equations to calculating areas. The number 7569 is a perfect square, meaning it has an integer square root.
Tips
- Mistaking the operation: Sometimes, students might confuse square roots with other operations like cubing or averaging. Always ensure you are finding the square root.
- Forgetting to verify the answer: Always check your answer by squaring it back to see if it equals the original number.
