Approximate square root of, 98, end square root
98
98
by following the steps below.
square root of, 98, end square root
98
98
must lie between the whole numbers
and
10 and 11.
To approximate the square root, we can try a number between 10 and 11, such as 10.5.
Calculations:
- 10.5^2 = 110.25 (greater than 98)
- 10.4^2 = 108.16 (greater than 98)
- 10.3^2 = 106.09 (greater than 98)
- 10.2^2 = 104.04 (greater than 98)
- 10.1^2 = 102.01 (greater than 98)
So, the square root of 98 is approximately between 10.1 and 10.2.
Approximate square root of, 82, end square root
82
82
by following the steps below.
square root of, 82, end square root
82
82
must lie between the whole numbers
and
9 and 10.
To approximate the square root, we can try a number between 9 and 10, such as 9.5.
Calculations:
- 9.5^2 = 90.25 (greater than 82)
- 9.4^2 = 88.36 (greater than 82)
- 9.3^2 = 86.49 (greater than 82)
- 9.2^2 = 84.64 (greater than 82)
- 9.1^2 = 82.81 (greater than 82)
So, the square root of 82 is approximately between 9.1 and 9.2.
To one decimal place, square root of, 82, end square root
82
82
must lie between
and
9 and 10.
To find the square root of 82 to one decimal place, we can use the midpoint between these two numbers, which is 9.5.
Calculations:
- 9.5^2 = 90.25 (greater than 82)
- 9.4^2 = 88.36 (greater than 82)
So, the square root of 82 is approximately 9.4 to one decimal place.
Approximate square root of, 82, end square root
82
82
by following the steps below.
square root of, 82, end square root
82
82
must lie between the whole numbers
9
9 and
10
10 because 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81
and 10, squared, equals, start box, 100, end box
1
0
2
=
100
10
2
=
100
, and 82 lies between these values.
Drag square root of, 82, end square root
82
82
based on your estimate above:
Real
√82
__
_
To one decimal place, square root of, 82, end square root
82
82
must lie between
and
because 9, point, 4, squared, equals, start box, 88, point, 36, end box
9.
4
2
=
88.36
9.4
2
=
88.36
and 9, point, 5, squared, equals, start box, 90, point, 25, end box
9.
5
2
=
90.25
9.5
2
=
90.25
, and 82 lies between these values.
To approximate the square root of 82, we can use the fact that 82 lies between 9.4 squared (88.36) and 9.5 squared (90.25).
Using linear interpolation, we can find an approximation within this range.
Since 82 is closer to 90.25 than 88.36, we can estimate the square root of 82 as being closer to 9.5.
Therefore, the approximate square root of 82 is 9.5.
Approximate square root of, 86, end square root
86
86
by following the steps below.
square root of, 86, end square root
86
86
must lie between the whole numbers
and
9 and 10.
To approximate the square root, we can try a number between 9 and 10, such as 9.5.
Calculations:
- 9.5^2 = 90.25 (greater than 86)
- 9.4^2 = 88.36 (greater than 86)
- 9.3^2 = 86.49 (greater than 86)
- 9.2^2 = 84.64 (greater than 86)
- 9.1^2 = 82.81 (less than 86)
So, the square root of 86 is approximately between 9.1 and 9.2.
Approximate square root of, 86, end square root
86
86
by following the steps below.
square root of, 86, end square root
86
86
must lie between the whole numbers
9
9 and
10
10 because 9, squared, equals, start box, 81, end box
9
2
=
81
9
2
=
81
and 10, squared, equals, start box, 100, end box
1
0
2
=
100
10
2
=
100
, and 86 lies between these values.
Drag square root of, 86, end square root
86
86
based on your estimate above:
Real
√86
__
_
To one decimal place, square root of, 86, end square root
86
86
must lie between
and