# Shortcut to find squareroot of any number

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• suresh

Thanks for you giving explanations………..
very nice steps…………………………………

• Boopathi

what is the method for sq.root of 625

• I am Vivek VJ !

1. last digit is 5. Unit digit will be 5
2. take 6 from first pair. 4 is near to 6. so sqrt of 4= 2

• Rt

How to solve 729

• Umarmukthar

The above trick is only for cracking problems in bank exams and work for perfect squares. first have a look at the given answers if there is apart from numbers like none of the above. They you have to check each and every answers..

• rohit bansal

I found this video to find roots of even 5 digit number in seconds!

• mirza ahmed baig

u are always taking the greater no then why there is need to multiply a number with its successor??????

• Shreyas Bhargav

either 3sq or 7sq will give you 9 at unit’s digit.
choose a square close to 7 = sq(2)
2*3 = 6 < 7
therefore digit in unit's place will be the larger number: 9
29*29 = 729

• #@!To: Boopathi

√625 = take last 2 digits 25 and remaining is 6. (like this 6 , 25 )

( 1sq=1 , 2sq=4 , 3sq=9 , 4sq=16 , 5sq=25 ,6sq=36 , 7sq=49,
8sq=64 , 9sq=81 , 10sq=100 ).

Now, first see 25= last no. is 5; (where is 5 is coming / 5sq=25.)= take ? 5

Now, again find where 6 is coming. Inbetween 2 sq& 3sq 6 is coming. take always small value.

= and value is 2.

Finally, first value is 5 and second value is 2. =2 5

————————————–

Question:

You find the √1369 ?

Ans= 37. Follow the above steps.

Thank You. Have a nice day.

• Guest

Step1:

• raj

how to solve 7 digits or more in this shortcut

• I am Vivek VJ !

I dont know about seven digits. But for 6 digits i mentioned above
The complexity increases with number of digits. the more no. of digits..question becomes difficult to solve.
Nothing is impossible in this world. You need right time and right tools.

for 6 digit number, how to find

how to solve 400689

• I am Vivek VJ !

1. Take last number.

2. sq of 9 = 3 so 3 is unit digit
3. Take rest numbers 4006 as single number.
4. Find the number whose square is near to 4006
5. U will find square of 63 is 3969 ~ 4000
7. Ur answer is here dear…633
😉

• Sampriti Das

just take 274576 as a six digit no. the last digit is 6 …which is not a perfect square.then how to find the square root?

• I am Vivek VJ !

Hey you know best coaching center in delhi for bank PO ?? Please tell me..i want to join 1

• Subrat

step 1) In 274576 ,units place is 6
4sq.=16 and 6sq.=36 as 4(less value) & 6(more value) end with 6
the unit place could either 4 or 6
step2) eleminate 76 and takethe rest no.s 2745
find the no. whose square is nearer to 2754
U will find square of 52 is 2704 ~2754
therfore take 52(units place)
step 3) now we should decide weather to take 4(less)or 6(more) as unit digit
take 52 next no. and multiply them 52×53=2756
as 2745<2756, take 4 (less < no.)

• Harshu

Sir as u said 3 is in unit digit bcoz its square is 9, but last digit of 7,s square is also 9. So how we know it may 3 or 7

• Subrat

step 1.)unit digit is 9
so we should take 3(less value) and 7(more value) as the unit digit
step 2)Take rest numbers 4006 as single number
Find the number whose square is near to 4006
U will find square of 63 is 3969 ~ 4000
step3) 63_ now we should decide either we should take 3 or 7 in the units place
step 4) next no. to 63 is 64, multiply both 63×64=4063<4006
therefore we should take the *less value* as mentioned in step 1)
{take 3(less value) and 7(more value)} i.e, 3 as the digit in units place
Therefore sqaure root of 400689 is 633 (not 6334)

• I am Vivek VJ !

In that case, Multiply the tens digit with consecutive of tens digit. like if tens digit is 6..6 x 7 = 42
now compare 42 with the first 2-3 digits of the number from left. if the 42 is greater than that number, choose the lesser of the two. If 42 is less than that number, choose greater of the 2 . ATB

633

• Shree Devi

for √784, as we paired the numbers and got 7 in the first pair, the nearest square to 7 will be 9 right? (3×3) ?? Why is 4 selected?
How do we know which square to take?

• I am Vivek VJ !

Because u always have to take the one less than…and nearest. You cannot take 9..its farther not nearest.
4 is near to 7..as well as less than 7
9 is near but from right side
Observe from left side and you will find wisdom there. >1>2>3>4>5>6>7>8>9

• Keyur

How to solve 4896?

• asd

how the nearest square of 7 is 4 can anybody explain……

• Prithviraj Ghosh

hello but how to find of a niumber of 7 digits? i.e.- 2771291????????????????

• Jibin Jose

how to resolve 961

• nandini

how to solve53824

• Shreyashi

How to solve 12996

• Shreyashi

It’s dere in a lic exam test paper

• Arnab Chaudhuri

can this process be used in case of imperfect square?

• sravan kumar

how to find square root of 6354

• Varsha Holla

How to find the square root / cube root of any number ending with zero? If I follow this method for square root of 2240, then the answer will be 40, but it’s wrong. It is around 47.32. Please suggest a way to find this.