Between which two consecutive whole numbers does square root of, 45, end square root

45

lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 45, end square root
45

to an approximately correct location on the number line.

The square root of 45 lies between whole numbers 6 and 7.

To justify this answer, we can calculate the square root of 45:

√45 ≈ 6.7082

Since 6.7082 is closer to 7 than it is to 6, we can conclude that the square root of 45 is between whole numbers 6 and 7.

Drag "√45" to a location between 6 and 7 on the number line.

Since square root of, end square root

2
2




equals=
and square root of, end square root
2
2




equals=
it is known that square root of, 45, end square root
45

is between
and
.

Since the square root of 2 is approximately 1.4142, and the square root of 3 is approximately 1.7321, it is known that the square root of 45 is between 6 and 7.