CUBE & CUBE ROOTS
If a natural number is multiplied by itself three times, the results will be called considered as a Cubed Number, also called a Perfect Cubed, for example, 5 X 5 X 5 = 5ᶟ = 125. So, 125 will be called as Perfect Cube and 5 will be called Cube Root of 125. The symbol for cube roots ∛ or ( )1/3.
Thus we can express or write as, ∛125 = ∛5ᶟ = 5 or (125)1/3 = (5ᶟ)1/3 = 5
There are some more example for better understanding –
Example.1) ∛512 = ∛8ᶟ = 8 or (512)1/3 = (8ᶟ)1/3 = 8
Example.2) ∛1000 = ∛10ᶟ = 10 or (1000)1/3 = (10ᶟ)1/3 = 10
Example.3) ∛343 = ∛7ᶟ = 7 or (343)1/3 = (7ᶟ)1/3 = 7
Example.4) ∛3375 = ∛15ᶟ = 15 or (3375)1/3 = (15ᶟ)1/3 = 15
Example.5) ∛(-729) = ∛(-9)ᶟ = -9 or (-729)1/3 = (-9ᶟ)1/3 = -9