Do 10 questions each of square root in all methods.
(1) Repeat subtraction.
(2) Prime factorisation.
(3) Long division.
Answers
Given : Methods to find Square root (1) Repeat subtraction. (2) Prime factorisation., (3) Long division.
To find : Sqaure root of any one number by mentioned methods
Solution:
Lets take two examples 1. 121 2. 16
121
1.1 Repeat subtraction.
121 – 1 = 120
120 – 3 = 117
117 – 5 = 112
112 – 7 = 105
105 – 9 = 96
96 – 11 = 85
85 – 13 = 72
72 – 15 = 57
57 – 17 = 40
40 – 19 = 21
21 – 21 = 0
11 Steps or
21 = 2n- 1 => n = 11
√121 = 11
1.2. Prime factorisation.
121 = 11 * 11
√121 = 11
1.3 Long division.
11
121
1 1
________
021
21 21
______
0
√121 = 11
2.1 Repeat subtraction.
16 - 1 = 15
15 - 3 = 12
12 - 5 = 7
7 - 7 = 0
4 Steps or
2n - 1 = 7 => n = 4
√16 = 4
2.2 Prime factorization.
16 = 2 * 2 * 2 * 2
= 2² * 2²
= 4²
√16 = 4
2.3 Long division.
4
16
4 16
_____
0
√16 = 4
Learn more:
QueSLUNNU.410What is the nearest square root value of 125125 ...
https://brainly.in/question/13418847
nearest square root of 125125 - Brainly.in
https://brainly.in/question/13418938