Question

how to find a square root ?

Answer 1

heya✌️✌️


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 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 78

Method 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

Practice this technique well and ensure that the next time you are asked to find the square root of a perfect square, you don’t spend more than 3 seconds.






thanks✌️✌️✌️

Answer 2

There is an easy method to find out square

that is factorisation method.

At first find out its prime factor .

Then pair it .

at last multiply it .

As ,

36 = 2× 2×3×3

pair it,

Square root of 36 = 2×3 = 6

OK

PLZ

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