Learn how to find square root of a number - Tips & Tricks
Published on Apr 22, 2020
Square and Square Root both are very essential for cracking any competitive exams. Without remembering Square and Square Root Shortcut Tricks , you can't expect to do well in an exam.. As all competitive exams have a time constraint, so you don't have much time to spend on calculating squares. That's where shortcut tricks come into action. If you remember this then it will have a positive impact on your exam for sure. Here in this topic we will discuss a few shortcut tricks on Square and Square Root. .So here are some tips and tricks to find out Square Roots.
Competitive exams are all about time. If you can effectively manage time then you will surely do well in your exam. Most of us ignore that part. Few examples of square and square root shortcuts are given in this page below. These shortcut methods cover all types of tricks on Square and Square Root. Please carefully go through all shortcut examples. You can follow shortcut tricks on Square and Square Root with the help of examples.
What is Square Root?
The square root of a number is the value which when multiplied to itself gives the original number. Suppose, 5 when multiplied by 5 results in 25. So we can say, 5 is the square root value of 25. Similarly, 4 is the root value of 16, 6 is the root value 36, 7 is the root value of 49, etc. Since square represents the area of a square which is equal to ‘side x side’, therefore, the square root represents the length of the side of the square. The symbol of the square root is denoted by ‘√’. Hence, square root numbers are represented as √4, √5, √8, √9, etc.
How to Find Square Root?
To find the square root of small numbers like 4, 9, 16, 25, etc. is an easy task. Because we already know from the multiplication table of 1 to 10, the number when multiplied by itself gives the squares, in a two-digit form. But if the number is in three-digit or four-digit, then it is difficult to find the root of these numbers, because we cannot remember the table for higher numbers. Let us find out the trick to determine the root of large numbers.
Now here we learn different methods for finding the square root
a) Square Root of a any number by the long division method. (It is general method for square root calculation).
b) Square Root of a Perfect Square by using the Prime Factorization Method.
c) Short cut trick for find the square root for perfect square number.
d) Approximate Square Root of any number which is not a Perfect square.
Short cut trick for find the square root for perfect square number.
This method applicable only the for the perfect square root numbers
Remember the following table ( i,e squares of 1 to 9 numbers) and given simple logic.
- If last digit of perfect Square number =1, last digit of Square root for that number=1 or 9.
- If last digit of perfect Square number =4 , last digit of Square root for that number=2 or 8.
- If last digit of perfect Square number =9, last digit of Square root for that number=3 or 7.
- If last digit of perfect Square number =6, last digit of Square root for that number=4 or 6.
- If last digit of perfect Square number =5, last digit of Square root for that number=5.
How to find the square root of 4 digit number - Short Trick
Ex. 1: Find the square root of 7056.
Step 1 : The given number to be group the digits in pairs, and the remaining digit (if any) is called a period. Write two digit parts i.e 70 – 56 and Lost digit is ” 6 ” so last digit of Square root for that number=4 or 6.
Step 2 : Leave the first two digits and take the next remaining digits. Here remaining number is ” 70″.
Step 3 : Find the less square number for ” 70″ .
i.e 82 < 70 < 92
So Take the less number i.e ” 8″ . Here our next digit of square root is ” 8 “
Step 4 : Square root of 7056 is 84 or 86.
Step 5 : Take the second digit in square root (i.e 8 ) and multiplying it, by next preceding number (i.e 8 x 9 = 72 ).
Step 6 : Compare the multiplied value ( i.e 72) with the 2nd part of the number (i.e 70 ).
If the 2nd part of the number is high then take big number.
If the 2nd part of the number is less then take small number.
Here ( 2nd part of the number) 70 < 72 . So take small number 84 from 84 and 86.
Square root of 7056 is 86.
Square Root Chart From 1 to 50
Number
|
Square Root Value(√)
|
1
|
1
|
2
|
1.414
|
3
|
1.732
|
4
|
2
|
5
|
2.236
|
6
|
2.449
|
7
|
2.646
|
8
|
2.828
|
9
|
3
|
10
|
3.162
|
11
|
3.317
|
12
|
3.464
|
13
|
3.606
|
14
|
3.742
|
15
|
3.873
|
16
|
4
|
17
|
4.123
|
18
|
4.243
|
19
|
4.359
|
20
|
4.472
|
21
|
4.583
|
22
|
4.69
|
23
|
4.796
|
24
|
4.899
|
25
|
5
|
26
|
5.099
|
27
|
5.196
|
28
|
5.292
|
29
|
5.385
|
30
|
5.477
|
31
|
5.568
|
32
|
5.657
|
33
|
5.745
|
34
|
5.831
|
35
|
5.916
|
36
|
6
|
37
|
6.083
|
38
|
6.164
|
39
|
6.245
|
40
|
6.325
|
41
|
6.403
|
42
|
6.481
|
43
|
6.557
|
44
|
6.633
|
45
|
6.708
|
46
|
6.782
|
47
|
6.856
|
48
|
6.928
|
49
|
7
|
50
|
7.071
|