Question

How to Find Out Square Roots of Any Number with Division Method? I want step by step explanation

Answer 1

Hey Friends here is your answer ___________^^^^^^^^:____________


Example 1: Find the √2401
Solution:
Step1: Decide the unit’s place of the result.
2401 ends with 1 = Square root will end with 1 or 9
_ 1 or _ 9
Step2: Leave the last 2 digits and find the immediate perfect square before the remaining number.
The immediate perfect square before 24 = 16, which is 42
That is the number in ten’s place
41 or 49
Step 3: To determine whether the square root of 2401 is 41 or 49Method 1: Take the number that lies exactly between 41 and 49 and square it.
452 = 2025 (We have learnt earlier how to find square of numbers ending with 5)
2025 < 2401
45 < Square root of 2401
And since
45 < 49
Square root of 2401 is 49
Example 2: Find the √6084
Solution:
Step1: Decide the unit’s place of the result.
6084 ends with 4 = Square root will end with 2 or 8
_2 or _8
Step 2: Leave the last 2 digits and find the immediate perfect square before the remaining number.
The immediate perfect square before 60 = 49, which is 72
72 or 78
Step 3: To determine whether the square root of 6084 is 72 or 78Method 2: Take squares of numbers 70 and 80, since 72 and 78 lie within the range.
702 = 4900
802 = 6400
Since, 6084 is closer to 6400, the square root must also be closer to 80, which is 78
Square root of 6084 is 78
Example 3: Find the √12769
Solution:
Step 1: Decide the unit’s place of the result.
12769 ends with 9 = Square root will end with 3 or 7
_3 or _7
Step 2: Leave the last 2 digits and find the immediate perfect square before the remaining number.
The immediate perfect square before 127 = 121, which is 112
113 or 117
Step 3: To determine whether the square root of 12769 is 113 or 117
Method 1: Take the number that lies exactly between 113 and 117 and square it.
1152 = 13225
12769 < 13225
And since
113 < 115
Square root of 12769 is 113
Method 2: Take squares of numbers 110 and 120, since 113 and 117 lie within the range.
1102 = 12100
1202 = 14400
Since 12100 is closer to 12769, the square root must also be closer to 110, which is 113
Square root of 12769 is 113 ..



Hope it will help you-------------------------------

mind me as BRAINLIES----------------DEAR

*************{ROYAL RAJPUT}***************