9 over 4 is close to the square root of what integer?(1 point)
To find the square root of an integer that is close to 9/4, we can start by finding the square root of 9/4 itself.
The square root of 9/4 can be simplified as follows:
√(9/4) = √9 / √4 = 3/2
So 9/4 is close to the square root of (3/2)^2.
(3/2)^2 = (3/2) x (3/2) = 9/4
Therefore, the square root of 9/4 is close to the integer 3.
The square root of what integer is closest to 9 over 4? This can be expressed as:
9/4 ≈ √(9/4)
To simplify this further, we can divide both the numerator and the denominator of 9/4 by 4:
(9/4) / (4/4) ≈ √(9/16)
Now, we can take the square root of 9/16:
√(9/16) = √9 / √16 = 3/4
So, the square root of the integer closest to 9 over 4 is 3/4.