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Tricks to Find Square Root

Number Unit digit of Number2
1 1
2 4
3 9
4 6
5 5
6 6
7 9
8 4
9 1
10 0

Hence, from the above table we can figure out if any perfect square ends with the above digits at the unit place, then its square root will have the same respective number at the unit place.

For example, the square root of 81 is 9.

Cubes of the numbers (1 to 10)
Numbers Cubes
1 1
2 8
3 27
4 64
5 125
6 216
7 343
8 512
9 729
10 1000

Now, do you analyze anything from the above table?

Observation 1:
Unit digit of the numbers and their cubes is similar
1 1
4 6 4
5 12 5
6 21 6
9 72 9
10 100 0

So, always remember that, if you find a number who is a definite cube and carries the above-mentioned unit digits, then their cube roots will also have the same unit digits.

Observation 2:
Numbers having the unit digit 2 will have 8 as the unit digit in the cube and vice versa Numbers having the unit digit 3 will have 7 as the unit digit in the cube and vice versa
2 8 3 2 7
8 51 2 7 34 3

Trick To Find Cube Root

Thus, keep in mind that if you find a number who is a definite cube and carries the unit digits as:

a. 2, then cube root will have unit digit as 8.

b. 8, then cube root will have unit digit as 2.

Remember the conclusions of the above observations. They will be used in the steps of calculating the cube roots.

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Chapters
0:00 - Square Root Trick
2:43 - Non Perfect Square Root Trick
4:07 - Cube Root Trick
6:03 - Non Perfect Square Root Trick

Music : Maestro Talekelel
Artist : Jesse Gallagher

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