Cube root of a number is the factor that we multiply by itself three times to get that number. The symbol
To find a cube root of a number, we will follow the steps.
Step 1 :
Decompose the numerators and denominator separately as product of prime factors.
Step 2 :
For every three same value, we can take one out of the radical.
Evaluate :
Problem 1:
∛1
Solution :
∛1 = 1
Problem 2 :
∛-1
Solution :
∛-1 = ∛(-1) ⋅ (-1) ⋅ (-1)
= -1
Problem 3 :
∛-27
Solution :
∛-27
We can write 27 as 3 × 3 × 3,
∛-27 = ∛(-3 × -3 × -3)
∛-27 = -3
Problem 4 :
∛8
Solution :
∛8
We can write 8 as 2 × 2 × 2,
∛8 = ∛2 × 2 × 2
∛8 = 2
Problem 5 :
∛-8
Solution :
∛-8
We can write 8 as 2 × 2 × 2,
∛-8 = ∛(-2 × -2 × -2)
∛-8 = -2
Problem 6 :
∛64
Solution :
∛64
We can write 64 as 4 × 4 × 4,
∛64 = 4 × 4 × 4
∛64 = 4
Problem 7 :
∛125
Solution :
∛125
We can write 125 as 5 × 5 × 5,
∛125 = 5 × 5 × 5
∛125 = 5
Problem 8 :
∛-216
Solution :
∛-216
We can write 216 as 6 × 6 × 6,
∛-216 = ∛(-6 × -6 × -6)
∛-216 = -6
Problem 9 :
∛-1000
Solution :
∛-1000
We can write 1000 as 10 × 10 × 10,
∛-1000 = ∛(-10 × -10 × -10)
∛-1000 = -10
Problem 10 :
∛343
Solution :
∛343
We can write 343 as 7 × 7 × 7,
∛343 = 7 × 7 × 7
∛343 = 7
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM