Question

How to find square root of a number mathematically???

Answer 1

THERE ARE TWO METHODS TO FIND A SQUARE ROOT OF A NUMBER
I. BY TAKING ITS LCM
II. BY LONG DIVISION METHOD.

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Answer 2

How To Find Square Root Of A Number In Three Easy Steps

Firstly, you must memorise the squares of numbers from 1 to 30.



We have already learnt that there is a certain pattern seen when it comes to square of any number:



SMART METHOD

How to find square root of a number in a smart method is a 3-step process

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 49

Method 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 numbersending with 5)

2025 < 2401

45 < Square root of 2401

And since

45 < 49

Square root of 2401 is 49