Find two square roots that are between 4 and 5. one square root should be closer to 4 abd the other should be closer to 5. Justify your answer.
please answer fast.
To find two square roots that are between 4 and 5, we can consider the following:
First, we need to identify the perfect squares that are closest to 4 and 5:
- The perfect square closest to 4 is 4 itself, as its square root is 2.
- The perfect square closest to 5 is 9, as its square root is 3.
Now, we can see that the square root of 4 (2) is closer to 4, and the square root of 9 (3) is closer to 5. Therefore, the two square roots that are between 4 and 5 are 2 and 3, respectively.
To find two square roots between 4 and 5, we can use approximation.
First, let's square some numbers between 4 and 5 to see which ones come close to those values:
- Squaring 2 gives us 4 (2 x 2 = 4)
- Squaring 2.5 gives us 6.25 (2.5 x 2.5 = 6.25)
- Squaring 3 gives us 9 (3 x 3 = 9)
From these values, we can see that the square of 2 is closer to 4, and the square of 3 is closer to 5.
Now, let's find the square roots of these values:
- The square root of 4 is 2 since 2 x 2 = 4.
- The square root of 9 is 3 since 3 x 3 = 9.
Therefore, we have found two square roots that are between 4 and 5: √4 = 2 (closer to 4) and √9 = 3 (closer to 5).