To two decimal places, square root of, 65, end square root
65
65
must lie between
8.10
8.10 and
8.11
8.11 because 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
and 8, point, 11, squared, equals, start box, 65, point, 7721, end box
8.1
1
2
=
65.7721
8.11
2
=
65.7721
, and 65 lies between these values
Based on the given information, we know that the square root of 51 lies between the whole numbers 7 and 8.
Therefore, the square root of 51 is between 7 and 8.
(You can drag square root of 51 to a location between 7 and 8 on the number line provided.)
So, the square root of 65 lies between 8.10 and 8.11.
Approximate square root of, 65, end square root
65
65
by following the steps below.
square root of, 65, end square root
65
65
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 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To one decimal place, square root of, 65, end square root
65
65
must lie between
8.0
8.0 and
8.1
8.1 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To two decimal places, square root of, 65, end square root
65
65
must lie between
and
because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 6, squared, equals, start box, 73, point, 96, end box
8.
6
2
=
73.96
8.6
2
=
73.96
, and 65 lies between these values.
So, to two decimal places, the square root of 65 lies between 8.00 and 8.60.
sorry thats incorrect
Apologies for the incorrect response. Let's calculate the square root of 65 correctly.
To find an approximate value for the square root of 65, we can use a calculator or a mathematical tool. The square root of 65 is approximately 8.06 when rounded to two decimal places.
Therefore, to two decimal places, the square root of 65 is approximately 8.06.
Approximate square root of, 65, end square root
65
65
by following the steps below.
square root of, 65, end square root
65
65
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 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To one decimal place, square root of, 65, end square root
65
65
must lie between
8.0
8.0 and
8.1
8.1 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 1, squared, equals, start box, 65, point, 61, end box
8.
1
2
=
65.61
8.1
2
=
65.61
, and 65 lies between these values.
Drag square root of, 65, end square root
65
65
based on your estimate above:
Real
√65
__
_
To two decimal places, square root of, 65, end square root
65
65
must lie between
8.06
8.06 and
8
8 because 8, squared, equals, start box, 64, end box
8
2
=
64
8
2
=
64
and 8, point, 06, squared, equals, start box, 64, point, 9636, end box
8.0
6
2
=
64.9636
8.06
2
=
64.9636
, and 65 lies between these values.
the anscwer was still incorect
I apologize for the incorrect response again. Let's recalculate the square root of 65 correctly.
To find a more accurate approximation, we can use the method of iteratively refining our estimate.
1. Start with an initial estimate, such as 8.5.
2. Square the estimate (8.5 squared equals 72.25) and check if it is greater than 65.
3. If the squared estimate is greater than 65, reduce the estimate. In this case, try 8.4.
4. Square the new estimate (8.4 squared equals 70.56) and check if it is less than 65.
5. If the squared estimate is less than 65, increase the estimate slightly. In this case, try 8.45.
6. Repeat steps 4 and 5 until you find the estimate that gives a squared value closest to 65.
7. Continue this iterative process until you reach the desired level of accuracy.
After performing this iteration for a few steps, we can determine that the square root of 65 is approximately 8.062.
Therefore, to two decimal places, the square root of 65 is approximately 8.06.
i need 2 diffrent numbers not just the sqare root of 65
Apologies for the confusion. To find two different numbers between which the square root of 65 lies, we can use the method of estimating the square root by comparing it to the square of consecutive whole numbers.
Let's calculate:
1. Start with the square root of 64 (8^2 equals 64), which is 8, and the square root of 81 (9^2 equals 81), which is 9.
2. The square root of 65 must lie between these two numbers.
3. Therefore, to two decimal places, the square root of 65 lies between 8.00 and 9.00.
So, to two decimal places, the square root of 65 lies between 8.00 and 9.00.