SHORTCUT FOR SQUARE ROOT AND CUBE ROOT

In this post we are providing you SHORTCUT FOR SQUARE ROOT AND CUBE ROOT which will be useful to you while solving simplification questions or any other questions. These SHORTCUT FOR SQUARE ROOT AND CUBE ROOT root will be helpful and will save a lot of your time in exams. Another important thing for solving mathematics questions quickly is to mug up the squares of numbers from 1 to 25 and cubes of number from 1 to 15. Below, we have discussed each and every step in detail to help you. If you know more better methods, do share with us in the comments section.

SHORTCUT FOR SQUARE ROOT AND CUBE ROOT

• How to find a SQUARE ROOT of number.
729
Step1 : First pair the numbers in group from right.
_ __
7 84

Step2: Now to find the ten’s place digit ,find the nearest square to the first grouped pair from left and put the square root of the square.
nearest square of 7 is 4
√4 = 2

Step3: Now to get the unit’s place digit .

Note
If no. ends in            Unit’s place digit of the square root
1                                                1 or 9
4                                                2 or 8
6                                                4 or 6
9                                                3 or 7
5                                                5
0                                                0

Therefore the unit digit will be either 1 or 9.

Step4: Now multiply the ten’s place digit .i.e. found in step1 with its consecutive number and compare the result obtained with the first pair of the original number from left.
Now ,if:
1. If the first pair of the original number > Result obtained on multiplication than select the greater number out of the two numbers as the unit place of the square root.
2.If the first pair of the original number < Result obtained on multiplication ,then select the lesser number out of the two numbers. 2 x 3 =6 7> 6
Therefore for the answer will be 29 .

•

• How to find a CUBE ROOT of number.
13824
Step1: Now to find the unit place of the cube root always remember the following points
1.If the Last digit of a cube root is 8 than the unit digit will be 2.
2.If the Last digit of a cube root is 2 than the unit digit will be 8.
3.If the Last digit of a cube root is 3 than the unit digit will be 7.
4.If the Last digit of a cube root is 7 than the unit digit will be 3.
5.If the Last digit of a cube root is other than 2,3,7,8 than put the same number as the unit digit.
Now the unit digit will be 4

Step2: Now strike the last 3 digits of the given number.
13824

Step3: Now find the nearest square of the first 2 digit from the left
Now the nearest cube is 8

Step4: Now 8 is the cube root of 2
Therefore the ten’s place digit is 2
So the answer will be 24