Calculation Short tricks: Calculate square roots quickly!

By Amrit Gouda|Updated : September 15th, 2021

Calculation tricks to calculate Square roots: In Quantitative Aptitude, calculation short tricks are required to solve the questions quickly and accurately. This minimizes the time of the calculation as well as boosts the confidence to attempt more questions. 

Calculation tricks to calculate Square roots: In Quantitative Aptitude, calculation short tricks are required to solve the questions quickly and accurately. This minimizes the time of the calculation as well as boosts the confidence to attempt more questions. In the article, we are sharing the important short tricks to calculate the square roots of the numbers. 

Attempt Quant Quiz

Short tricks to calculate square roots

For this, at first, you should know the squares of numbers from 1 to 10, which is an easy task. 

Number Square
11
24
39
41 6
52 5
63 6
74 9
86 4
98 1
1010 0

Now, you just have to analyze the unit digits of both the number and the square. This way you will get to know the last digit of the square root by just looking at the unit digit of the given square number.

Square Number Unit Digit Square Root number Unit Digit
11
24
39
46
55
66
79
84
91
100

Do you find anything interesting from the above information?

Unit digit of square root numbers of the number 

  • ending with 1 and 9 is 1.
  • ending with 3 and 7 is 9.
  • ending with 4 and 6 is 6.
  • ending with 5 and 0 is 5 and 0 respectively or the same as that of the number.

Now, let`s see how remembering the unit digit helps in helpful in calculating the squares.

Steps to calculate the square numbers

Step 1: Divide the number into two parts. Make sure that on the right side of the part, there must be two digits.

Step 2: Check out the unit digit of the right side and find the unit digit of the square root number following the trick in the above table and write down the square root of the number smaller than or equal to the left digit.

Step 3: Now, if you got two digits at the right side, then there will be two cases:

1. If left digit X its successive digit > left part, then a smaller digit will be taken on the right side.

2. If left digit X its successive digit < left part, then larger digit will be there on the right side.

Let`s take some examples to have the better understanding of all the above-written steps.

Example 1: Find the square root of 441.

Sol. Step 1: Splitting it into two parts, it is 4 and 41.

                                                    4         41

                                                    ↓           ↓ 

  Step 2:                           [(2)2 = 4]     1 or 9 (See above table)

  Step 3:                                      2          1 (2 x 3 > 4 , so smaller digit will be taken) 

Answer: 21

Example 2: Find the square root of 1369.

Sol. Step 1: Splitting it into two parts, it is 13 and 69.

                                                   13         69

                                                    ↓           ↓ 

  Step 2:                       [(3)2 < 13]  3 or 7 (See above table)

  Step 3:                                        3          7 (3 x 4 < 13 , so larger digit will be taken)

Answer: 37 

Example 3: Find the square root of 11236.

Sol. Step 1: Splitting it into two parts, it is 112 and 36.

                                                   112         36

                                                    ↓             ↓ 

  Step 2:                       [(10)2 < 112]   4 or 6 (See above table)   

  Step 3:                                       10          6 (10 x 11 < 112 , so larger digit will be taken)

Answer: 106

Example 4: Find the square root of 43264.

Sol. Step 1: Splitting it into two parts, it is 432 and 64.

                                                  432         64

                                                    ↓           ↓ 

  Step 2:                     [(20)2 < 432]    2 or 8 (See above table)

  Step 3:                                       20          8 (20 x 21 < 432 , so larger digit will be taken)

Answer: 208

Example 5: Find the square root of 50625.

Sol. Step 1: Splitting it into two parts, it is 506 and 25.

                                                  506         25

                                                    ↓           ↓ 

  Step 2:                     [(22)2 < 506]          5 (See above table)

  Step 3:                                       22          5 

Answer: 225

Example 6: Find the square root of 91204.

Sol. Step 1: Splitting it into two parts, it is 912 and 04.

                                                  912         04

                                                    ↓           ↓ 

  Step 2:                     [(30)2 < 912]    2 or 8 (See above table)

  Step 3:                                       30          2 (30 x 31 > 912 , so smaller digit will be taken)

Answer: 302

In this way, you can calculate the square roots of the number easily. You don't have to write all the steps in the exam. Just calculate the steps in your mind and answer quickly.

Join Quant Foundation Online Classroom Program for all Bank and Insurance exams.

Click here to access Test Series

Why BYJU'S Exam Prep Test Series?

  • Unlimited access to 18+ Bank and Insurance Exam mock tests
  • Mock Tests designed by Exam Experts.
  • Detailed Performance Analysis. 

Download the BYJU’S Exam Prep App Now. 

The most comprehensive exam prep app.

#DreamStriveSucceed

Posted by:

Amrit GoudaAmrit GoudaMember since Mar 2021
Community Associate at Gradeup. Cleared many bank exams.
Share this article   |

Comments

write a comment
Load Previous Comments
Amol Maind

Amol MaindJul 3, 2020

Good morning
Bhanu chandra
Find √(96426)
Manjsingh Mnj
IBPS RRB clerk ke lie maths ke best or most important topics btado. Plzz
Radhe Rajput
Square root nikalne ki magical trick
Must watch
https://youtu.be/RP6Kqgf27mk
Ravi

RaviSep 23, 2020


So. 
Unknown

UnknownOct 17, 2020

What if the step 2 gives the exact value on the left side.....what we have to choose the smaller one or the biggest one
Shashi

ShashiMay 10, 2021

Smjh nhi aai ye trick...
rhymes Satish Srisailapu
Thank u for given good information

FAQs

  • Gradeup is now BYJU'S Exam Prep that offers the most comprehensive preparation for all exams. Get Monthly/Weekly Current Affairs, Daily GK Update, Online Courses, Latest Pattern Test Series and detailed Study Material from the top faculty at your fingertips. Want to learn more? Do not hesitate to contact our customer care here.

  • You can go through the article to have a complete understanding of this.

  • We have elaborated on the process to find the square root of a number in this article. Kindly go through it.

  • You can find the application of short tricks like square root and cube root, in the simplification-approximation questions of bank and insurance exams.

  • You can learn short tricks of quantitative aptitude to improve the calculation speed.

PO, Clerk, SO, Insurance

BankingIBPS ClerkNABARDSBI PONainital BankNIACL AOIDBIApprenticeHPSCBSBI ClerkIBPSLICESICJAIIBBNPBSCBPSCBRBIOtherQuick LinkMock Test
tags :PO, Clerk, SO, InsuranceGeneralSBI Clerk OverviewSBI Clerk Admit CardSBI Clerk Exam DateSBI Clerk Question PapersSBI Clerk Cut Off

PO, Clerk, SO, Insurance

BankingIBPS ClerkNABARDSBI PONainital BankNIACL AOIDBIApprenticeHPSCBSBI ClerkIBPSLICESICJAIIBBNPBSCBPSCBRBIOtherQuick LinkMock Test
tags :PO, Clerk, SO, InsuranceGeneralSBI Clerk OverviewSBI Clerk Admit CardSBI Clerk Exam DateSBI Clerk Question PapersSBI Clerk Cut Off

Follow us for latest updates