Shortcut to Find Square Root of a Number - Visit Testbook Blog for more useful articles
by Testbook.com - Best Place for Online Exam Preparation
Bank PO - Bank Clerk - GATE 2017 - Insurance - SSC CGL - BSNL TTA - RBI
Testbook Blog - Testbook Mobile App - Daily Current Affairs GK Quiz Mobile App - by Testbook.com
_____________________________________________________________________________________
Shortcut to Find Square Root of a Number
In Banking, Placement and Management Exams, the Quant section will often test your speed. You need
to be quick with calculations if you want to ace the exam. You can use this shortcut to quickly find the
square root of a number which is a perfect square! We can even find square roots of large numbers. But
this method is most ideally used for four or five digit perfect squares. You can use this trick for IBPS PO,
IBPS Clerk, SBI Clerk, SBI PO and SBI Associate exams. For more lessons such as these you can visit
www.testbook.com/blog/
Unit Digits of Squares
First we need to remember unit digits of all squares from 1 to 10. The figure below shows the unit digits
of the squares.
1/5
Shortcut to Find Square Root of a Number - Visit Testbook Blog for more useful articles
by Testbook.com - Best Place for Online Exam Preparation
Now from the picture we can say that, whenever the unit digit of a number is 9, unit digit of the
square root of that number will be definitely 3 or 7. Similarly, this can be applied to other numbers
with different unit digits.
How to Find Square Root of a Four Digit Number
Let’s learn how to find square root by taking different examples.
Example: Find the square root of 4489.
We group the last pair of digits, and the rest of the digits together.
Now, since the unit digit of 4489 is 9. So we can say that unit digit of its square root will be either 3 or 7.
Now consider first two digits i.e. 44. Since 44 comes in between the squares of 6 and 7 (i.e. 62 < 44 < 72),
so we can definitely say that the ten’s digit of the square root of 4489 will be 6. So far, we can say that
the square root will be either 63 or 67.
Now we will find the exact unit digit.
To find the exact unit digit, we consider the ten’s digit i.e. 6 and the next term i.e. 7.
2/5
Shortcut to Find Square Root of a Number - Visit Testbook Blog for more useful articles
by Testbook.com - Best Place for Online Exam Preparation
Multiply these two terms
Since, 44 is greater than 42. So square root of 4489 will be the bigger of the two options i.e. 67.
Let us take another example.
Example: What is the square root of 7056?
Unit digit will be 4 or 6.
Since, 82 < 70 < 92
So the square root will be either 84 or 86.
Now consider 8 and 9
Since, 70 is less than 72. So square root will be the lesser of the two values i.e. 84.
Let’s try it out with five digit numbers now!
How to Find Square Root of a Five Digit Number
We pair the digits up starting from the right side. Since there is one extra left over after two pairs are
formed, we club it with the pair closest to it.
Example: ?(16641) = ?
3/5
Shortcut to Find Square Root of a Number - Visit Testbook Blog for more useful articles
by Testbook.com - Best Place for Online Exam Preparation
Unit digit will be 1 or 9.
Since, 122 < 166 < 132
So, the square root will definitely be 121 or 129.
Now, consider 12 and 13
Since, 166 is greater the 156, we pick the larger of the options i.e. 129.
Let’s take another example, so that this trick will be clear to you.
Example: ?(33489) = ?
Unit digit will be 3 or 7.
Since, 182 < 334 < 192
So, square root will be 183 or 187.
Now consider 18 and 19.
Now, 334 is less than 342. So, the square root will be lesser of the two numbers i.e. 183.
This trick to find square root of a number will surely help you in your exams. Now that you have learnt
the basics, take different examples and practice some more.
_____________________________________________________________________________________
4/5
Shortcut to Find Square Root of a Number - Visit Testbook Blog for more useful articles
by Testbook.com - Best Place for Online Exam Preparation
Bank PO - Bank Clerk - GATE 2017 - Insurance - SSC CGL - BSNL TTA - RBI
Testbook Blog - Testbook Mobile App - Daily Current Affairs GK Quiz Mobile App - by Testbook.com
_____________________________________________________________________________________
5/5
Powered by TCPDF (www.tcpdf.org)