Square root by estimation method.
Answers
1) Finding square roots through reducing square roots.
2) 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.
Examples
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
________________________________________________________________
2) √36
Solution :
(i) 36 -1 = 35
(ii) 35 – 3= 32
(iii) 32 – 5 = 27
(iv) 27 – 7= 20
(v) 20 – 9 = 11
(vi) 11 – 11 = 0
Here, the total number of subtractions is 7.
∴ √49 = 7
_______________________________________________________________
Estimation method
In this method, first find the unit digit of square root from the unit digit of given number using the following table. Discard the last two digits and then check between which two squares the remaining numbers lie.
Unit digit of a given number Unit digit of square root
1
1 or 9
4
2 or 8
5
5
6
4 or 6
9
3 or 7
plz make me brainliests
Answer:
Hope you understand
