Square Root : Find square Root of any number in a 5 seconds

Square number

A square number or perfect square is the product of some integer with itself. For example, 25 is a square number, since it can be written as 5 × 5.

How to find Square of a Number

Square Root  Find square Root of any number in a 5 seconds

To Find square of a number, just multiply it by itself.

For Example, square of 2 is 2 x 2 = 4

Square Root

The square root of a number is a value that, when multiplied by itself, gives the number.

Square Root Symbol

The symbol of Square root is √

Finding Square Roots

The easiest way to find a square root is to use a calculator, but you can do it without one. Here’s one way, using 12 as an example of the squared number:

✓ Pick a number that when squared, comes close to (but is less than) the number whose square root you’re finding: 3 x 3 = 9. This is a better choice than 4: 4 × 4 = 16

✓ Divide the number you’re finding the square root of (12) by the number you squared (3) in step 1: 12 ÷ 3 = 4
✓ Average the closest square root (3) and the answer of step 2 (4): 3 + 4 = 7. 7 ÷ 2 = 3.5
✓ Square the average to see how close the number is to 12:

3.5 × 3.5 = 12.25—Close, but not close enough!

Repeat steps 2 and 3 until the number squared is very close to 12:

Divide: 12 ÷ 3.5 = 3.43

Average: 3.5 + 3.43 = 6.935

6.935 ÷ 2 = 3.465

3.465 × 3.465 = 12.006, close enough!

Problems based on Square Root

How to Calculate Square of a Number

Example1: 6 × 6 = 36, so a square root of 36 is 6.

Example2: √25 = 5 (because 5 x 5 = 25)

Example3: √9 = 3 (because 3 x 3 = 9 )

Example 4: √256 = 16 (because 16 x 16 = 256 )

Example 5: √2500 = 50 (because 50 x 50 = 2500)

Example 6: √3025 = 55 (because 55 x 55 = 3025)

Example 7: √4489 = 67 (because 67 x 67 = 4489)

Example 8: √7744 = 88 (because 88 x 88 = 7744)

Example 9: √8649 = 93 (because 93 x 93 = 8649)

Example 10: √10000 = 100 (because 100 x 100 = 10000)

Note:
1. We can also square negative numbers.
For Example (-3) X (-3)= 9

2. Square Root is also applied for decimals
For Example √15.5 = 3.94

Perfect Square

A number made by squaring a whole number (0,1,2,3,4_ _ _ _)

For Example 9 is a perfect square because it can be expressed as 3 x 3 (the product of two equal integers)

16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)

Square roots of numbers 1-100

Given below are the square numbers up to 100

Number Square Square root
1 1 1.000
2 4 1.414
3 9 1.732
4 16 2.000
5 25 2.236
6 36 2.449
7 49 2.646
8 64 2.828
9 81 3.000
10 100 3.162
11 121 3.317
12 144 3.464
13 169 3.606
14 196 3.742
15 225 3.873
16 256 4.000
17 289 4.123
18 324 4.243
19 361 4.359
20 400 4.472
21 441 4.583
22 484 4.690
23 529 4.796
24 576 4.899
25 625 5.000
26 676 5.099
27 729 5.196
28 784 5.292
29 841 5.385
30 900 5.477
31 961 5.568
32 1,024 5.657
33 1,089 5.745
34 1,156 5.831
35 1,225 5.916
36 1,296 6.000
37 1,369 6.083
38 1,444 6.164
39 1,521 6.245
40 1,600 6.325
41 1,681 6.403
42 1,764 6.481
43 1,849 6.557
44 1,936 6.633
45 2,025 6.708
46 2,116 6.782
47 2,209 6.856
48 2,304 6.928
49 2,401 7.000
50 2,500 7.071
51 2,601 7.141
52 2,704 7.211
53 2,809 7.280
54 2,916 7.348
55 3,025 7.416
56 3,136 7.483
57 3,249 7.550
58 3,364 7.616
59 3,481 7.681
60 3,600 7.746
61 3,721 7.810
62 3,844 7.874
63 3,969 7.937
64 4,096 8.000
65 4,225 8.062
66 4,356 8.124
67 4,489 8.185
68 4,624 8.246
69 4,761 8.307
70 4,900 8.367
71 5,041 8.426
72 5,184 8.485
73 5,329 8.544
74 5,476 8.602
75 5,625 8.660
76 5,776 8.718
77 5,929 8.775
78 6,084 8.832
79 6,241 8.888
80 6,400 8.944
81 6,561 9.000
82 6,724 9.055
83 6,889 9.110
84 7,056 9.165
85 7,225 9.220
86 7,396 9.274
87 7,569 9.327
88 7,744 9.381
89 7,921 9.434
90 8,100 9.487
91 8,281 9.539
92 8,464 9.592
93 8,649 9.644
94 8,836 9.695
95 9,025 9.747
96 9,216 9.798
97 9,409 9.849
98 9,604 9.899
99 9,801 9.950
100 10,000 10.000

Find Square Root Quickly

Watch the video below to learn some quick  tricks for calculation of square root.

Leave a Reply

Your email address will not be published. Required fields are marked *