Question
√56 is between what two numbers?
Answers
GPT-4o mini
To find the square root of 56, we can determine that it is between two perfect squares.
The perfect square less than 56 is \(49\) (which is \(7^2\)), and the perfect square greater than 56 is \(64\) (which is \(8^2\)).
Thus, we have:
\[
7^2 < 56 < 8^2
\]
Taking square roots gives us:
\[
7 < \sqrt{56} < 8
\]
Therefore, \(\sqrt{56}\) is between the numbers \(7\) and \(8\).
The perfect square less than 56 is \(49\) (which is \(7^2\)), and the perfect square greater than 56 is \(64\) (which is \(8^2\)).
Thus, we have:
\[
7^2 < 56 < 8^2
\]
Taking square roots gives us:
\[
7 < \sqrt{56} < 8
\]
Therefore, \(\sqrt{56}\) is between the numbers \(7\) and \(8\).