Which two interferes does -√146 fall between
To determine between which two integers -√146 falls, we need to find the two closest integers to -√146 without being greater or smaller than it.
-√146 is approximately -12.083. The two integers closest to -12.083 without being greater or smaller are -13 and -12.
So, -√146 falls between -13 and -12.
To find the two integers between which -√146 falls, we need to determine the two integer values that are closest to -√146.
First, we can find the integer values that are smaller and larger than -√146 by finding the two consecutive perfect squares between which 146 falls.
We know that √144 = 12, and √169 = 13, since 12^2 = 144 and 13^2 = 169.
Since √146 is between √144 and √169, it means that -√146 is between -12 and -13.
So, the two integers between which -√146 falls are -13 and -12.
To determine which two integers -√146 falls between, we need to find the two consecutive integers that are closest to -√146.
First, let's calculate the value of -√146:
-√146 ≈ -12.083
Since -12 is the closest integer that is smaller than -√146, and -13 is the next integer smaller than -√146, the two integers -√146 falls between are -13 and -12.
Therefore, -√146 falls between -13 and -12.