What is the square root of 69?
Understand the Problem
The question is asking for the value of the square root of the number 69. This involves calculating a mathematical operation to determine a number that, when multiplied by itself, equals 69.
Answer
The square root of 69 is approximately $\sqrt{69} \approx 8.3066$.
Answer for screen readers
The square root of 69 is approximately $\sqrt{69} \approx 8.3066$.
Steps to Solve
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Identify the operation We need to calculate the square root of 69. This means we are looking for a number $x$ such that when $x$ is multiplied by itself, it equals 69.
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Set up the equation We can express this mathematically as: $$ x^2 = 69 $$
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Take the square root To solve for $x$, we take the square root of both sides of the equation: $$ x = \sqrt{69} $$
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Calculate the square root Using a calculator or approximation methods, we find the approximate value of $\sqrt{69}$.
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Final approximation The approximate value of $\sqrt{69}$ is about 8.3066.
The square root of 69 is approximately $\sqrt{69} \approx 8.3066$.
More Information
The square root can often be either a whole number or an irrational number. In this case, since 69 is not a perfect square, its square root is an irrational number. The approximation to four decimal places is often sufficient for everyday calculations.
Tips
- A common mistake is trying to simplify the square root without realizing that 69 does not have perfect square factors. To avoid this, always check whether the number is a perfect square before attempting simplification.
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