Approximate square root of, 30, end square root

30
30

by following the steps below.
square root of, 30, end square root
30
30

must lie between the whole numbers
and

The whole numbers between which the square root of 30 lies are 5 and 6.

To one decimal place, square root of, 30, end square root

30
30

must lie between
and

To one decimal place, the square root of 30 lies between 5.5 and 5.6.

Approximate square root of, 30, end square root

30
30

by following the steps below.
square root of, 30, end square root
30
30

must lie between the whole numbers
5
5 and
6
6 because 5, squared, equals, start box, 25, end box
5
2
=
25
5
2
=
25

and 6, squared, equals, start box, 36, end box
6
2
=
36
6
2
=
36

, and 30 lies between these values.
Drag square root of, 30, end square root
30
30

based on your estimate above:
Real
√30
__
_
To one decimal place, square root of, 30, end square root
30
30

must lie between
and
because 5, squared, equals, start box, 25, end box
5
2
=
25
5
2
=
25

and 5, point, 5, squared, equals, start box, 30, point, 25, end box
5.
5
2
=
30.25
5.5
2
=
30.25

, and 30 lies between these values.

The approximate square root of 30 is 5.5

Approximate square root of, 69, end square root

69
69

by following the steps below.
square root of, 69, end square root
69
69

must lie between the whole numbers
and

The whole numbers between which the square root of 69 lies are 8 and 9.

Approximate square root of, 69, end square root

69
69

by following the steps below.
square root of, 69, end square root
69
69

must lie between the whole numbers
8
8 and
9
9 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64

and 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81

, and 69 lies between these values.
Drag square root of, 69, end square root
69
69

based on your estimate above:
Real
√69
__
_
To one decimal place, square root of, 69, end square root
69
69

must lie between
and

To one decimal place, the square root of 69 lies between 8.2 and 8.3.

Approximate square root of, 69, end square root

69
69

by following the steps below.
square root of, 69, end square root
69
69

must lie between the whole numbers
8
8 and
9
9 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64

and 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81

, and 69 lies between these values.
Drag square root of, 69, end square root
69
69

based on your estimate above:
Real
√69
__
_
To one decimal place, square root of, 69, end square root
69
69

must lie between
and
because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64

and 8, point, 2, squared, equals, start box, 67, point, 24, end box
8.
2
2
=
67.24
8.2
2
=
67.24

, and 69 lies between these values.