How to estimate square roots
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Answered by
3
by estimation method:-
here it is Estimation method.
Finding square roots through reducing square roots
Repeated Subtraction Method
In this method the given number is subtracted by 1,3,5,7,… at every step till you get zero at the end. The number of steps gives you the square root.
EXAMPLE:-
1) √49
Solution :
(i) 49 -1 = 48
(ii) 48 – 3= 45
(iii) 45 – 5 = 40
(iv) 40 – 7= 33
(v) 33 – 9 = 24
(vi) 24 – 11 = 13
(vii) 13 – 13 = 0
Here, the total number of subtractions is 7.
∴ √49 = 7
here it is Estimation method.
Finding square roots through reducing square roots
Repeated Subtraction Method
In this method the given number is subtracted by 1,3,5,7,… at every step till you get zero at the end. The number of steps gives you the square root.
EXAMPLE:-
1) √49
Solution :
(i) 49 -1 = 48
(ii) 48 – 3= 45
(iii) 45 – 5 = 40
(iv) 40 – 7= 33
(v) 33 – 9 = 24
(vi) 24 – 11 = 13
(vii) 13 – 13 = 0
Here, the total number of subtractions is 7.
∴ √49 = 7
moditgangber02ov50xc:
If the root is not a perfect square
Answered by
2
Estimate - first, get as close as you can by finding two perfect square roots your number is between.
2. Divide - divide your number by one of those square roots.
3. Average - take the average of the result of step 2 and the root.
2. Divide - divide your number by one of those square roots.
3. Average - take the average of the result of step 2 and the root.
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