What is the square root of 6084?
Understand the Problem
The question is asking for the square root of the number 6084, which involves determining what number multiplied by itself will equal 6084.
Answer
$78$
Answer for screen readers
The square root of 6084 is $78$.
Steps to Solve
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Set up the equation To find the square root of 6084, we set up the equation as follows: $$ x^2 = 6084 $$
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Apply the square root operation We take the square root of both sides of the equation: $$ x = \sqrt{6084} $$
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Calculate the square root Using a calculator or simplification, we find the value of the square root: $$ x = 78 $$
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Verify the solution To make sure our answer is correct, we can square the result: $$ 78^2 = 6084 $$
Since this is true, we have verified our answer.
The square root of 6084 is $78$.
More Information
The number 6084 is a perfect square, and its square root being $78$ means that $78 \times 78 = 6084$. Additionally, the square root function is key in solving many real-world problems, including those in various fields such as physics and engineering.
Tips
- Confusing the square root with the square. Remember that the square root is the opposite of squaring a number.
- Using an incorrect calculator function. Ensure you use the square root function instead of squaring the number.
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