What is the square root of 157?
Understand the Problem
The question is asking for the square root of the number 157, which is a mathematical operation that involves finding a value that, when multiplied by itself, gives the original number.
Answer
$\sqrt{157} \approx 12.53$
Answer for screen readers
The approximate square root of 157 is $\sqrt{157} \approx 12.53$.
Steps to Solve
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Identify the operation To find the square root of 157, we need to determine which number, when multiplied by itself, equals 157.
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Use a calculator or estimation Since 157 is not a perfect square, we can use a calculator to find its approximate square root.
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Calculate the square root Using a calculator, we find: $$ \sqrt{157} \approx 12.53 $$
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Verification (optional) To verify, we can square our result: $$ 12.53 \times 12.53 \approx 157 $$
The approximate square root of 157 is $\sqrt{157} \approx 12.53$.
More Information
The square root of a number gives the value which, when multiplied by itself, returns the original number. For numbers that are not perfect squares, like 157, the result will be an irrational number, which can be approximated using calculators.
Tips
- Forgetting that the square root can be an irrational number, leading to incorrect assumptions of a simple whole number solution.
- Miscalculating with the calculator; ensure the correct input settings, especially for square roots.
