Question
What two integers is the square root of 202 in between?
Answers
Answered by
GPT-4o mini
To find two integers between which the square root of 202 lies, we can start by finding the perfect squares surrounding 202.
Calculating a few perfect squares:
- \(14^2 = 196\)
- \(15^2 = 225\)
Since \(196 < 202 < 225\), we can take the square roots of these numbers:
- \(\sqrt{196} = 14\)
- \(\sqrt{225} = 15\)
Thus, the square root of 202 is between 14 and 15. Therefore, the two integers that the square root of 202 is between are \(14\) and \(15\).
Calculating a few perfect squares:
- \(14^2 = 196\)
- \(15^2 = 225\)
Since \(196 < 202 < 225\), we can take the square roots of these numbers:
- \(\sqrt{196} = 14\)
- \(\sqrt{225} = 15\)
Thus, the square root of 202 is between 14 and 15. Therefore, the two integers that the square root of 202 is between are \(14\) and \(15\).