Between which two consecutive whole numbers does square root of, 30, end square root
30
30
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 30, end square root
30
30
to an approximately correct location on the number line.
Real
√30
__
_
Answer
Attempt 1 out of 2
Since square root of, empty space, end square root
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 30, end square root
30
30
is between
and
.
Submit Answer
Since √30 is between 5 and 6 (5 < √30 < 6), the square root of 30 lies between two consecutive whole numbers, 5 and 6.
Between which two consecutive whole numbers does square root of, 30, end square root
30
30
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 30, end square root
30
30
to an approximately correct location on the number line.
Real
√30
__
_
Answer
Attempt 1 out of 2
Since square root of, empty space, end square root
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 30, end square root
30
30
is between
and
.
Submit Answer
Since 30 is between 25 and 36 (25 < 30 < 36), the square root of 30 lies between two consecutive whole numbers, 5 and 6.
Between which two consecutive whole numbers does square root of, 12, end square root
12
12
lie? Fill out the sentence below to justify your answer and use your mouse to drag square root of, 12, end square root
12
12
to an approximately correct location on the number line.
Real
√12
__
_
Answer
Attempt 1 out of 2
Since square root of, empty space, end square root
2
2
equals
=
=
and square root of, empty space, end square root
2
2
equals
=
=
it is known that square root of, 12, end square root
12
12
is between
and
.
Since the square root of 12 is approximately 3.46, it lies between 3 and 4.
Since the square root of 30 is between the square root of 25 (which is 5) and the square root of 36 (which is 6), it is known that the square root of 30 lies between 5 and 6.
To find the two consecutive whole numbers between which the square root of 30 lies, we can calculate the square roots of the consecutive whole numbers and see which ones surround the square root of 30.
We start by calculating the square root of the smaller whole number:
√29 ≈ 5.385
Next, we calculate the square root of the larger whole number:
√30 ≈ 5.477
So, the square root of 30 lies between the whole numbers 5 and 6.
Therefore, the answer is:
The square root of 30 lies between 5 and 6 on the number line.