The document explains cube roots and how to calculate them by cubing a number, which involves multiplying it by itself three times. It provides examples of perfect cubes and discusses finding cube roots using both prime factorization and estimation methods. The cube root symbol is introduced, and the relationship between cubing and cube roots is clarified as inverse operations.

1. Cube Roots

2. •To understand cube roots, first, we must understand cubes……
HOW TO CUBE A NUMBER:
To cube a number, just multiply a number by itself 3 times.
•For e.g. 3 cubed = 33
= 3 x 3 x 3 = 27
3
3 3

3. Some more examples of cubes:
 4 = 64
 53
= 125
 73
= 343
 23
= 8
 13
= 1
 33
= 27
 63
= 216
 83
= 512
 93
= 729
 103
= 1000

4. 3 CUBE
ROOTS

5. CUBE ROOTS
√❑
Taking the
Cube root of a
perfect cube
will give you the
dimension of
one edge of
the cube
3 3
3
√27 = 3
3
3
27

6. The Cube Root Symbol!!
This is the special symbol that means ‘cube root’.
It is the RADICAL symbol (used for square roots also),
with a little three to mean cube root.
This would be said, the cube root of 27 equals 3.

7. CUBE ROOT: Just like square roots are the opposite of squaring a number,
cube roots, are the opposite of cubing a number.
A cube root goes in the other direction:
INVERSE
OPERATIONS
43
3
x x
3

8. These are some of the PERFECT CUBES of whole numbers!

9. Finding cube roots using prime
factorisation
8000 = 2x2x2 x 2x2x2 x 5x5x5
So, 8000 = 2 x 2 x 5
3

10. FINDING CUBE ROOTS USING
ESTIMATION
•Step 1- Form groups of three starting
from the right most digit.
Example 17 576

11. FINDING CUBE ROOTS USING
ESTIMATION
•Step 2- Take 576
•The digit is 6 at one’s place.
•We will now take 6 as required cube’s one
place.
Required cube = _6

12. FINDING CUBE ROOTS USING
ESTIMATION
•Step 3- Then take the other group that is 17.
•Cube of 2=8 and cube of 3=27.
•So, 17 lies between 2 and 3 and the smallest number
between them is 2.
•Take 2 as required cube’s tens place
Required cube = 26 = Answer

13. THANKS