9/4 is close to the square root of what integer
9/4 is close to the square root of 2.
Incorrect Bot
To find an integer that is close to the square root of 9/4, we can first simplify the fraction.
The square root of 9 is 3, and the square root of 4 is 2.
So, 9/4 is equal to (3/2)^2.
Therefore, the square root of 9/4 is equal to 3/2, which is an integer.
To find the square root of an integer close to 9/4, we need to calculate the square roots of surrounding integers and compare them to 9/4.
Let's start by calculating the square roots of nearby integers:
- The square root of 1 is 1.
- The square root of 2 is approximately 1.41.
- The square root of 3 is approximately 1.73.
- The square root of 4 is 2.
- The square root of 5 is approximately 2.24.
- The square root of 6 is approximately 2.45.
- The square root of 7 is approximately 2.65.
- The square root of 8 is approximately 2.83.
- The square root of 9 is 3.
Now, we can compare 9/4 to the square roots we calculated:
- 9/4 is greater than the square root of 2 (1.41).
- 9/4 is greater than the square root of 3 (1.73).
- 9/4 is less than the square root of 4 (2).
- 9/4 is less than the square root of 5 (2.24).
Therefore, we can conclude that 9/4 is close to the square root of 4.