Worksheet: Cube Root of a Rational Number
In this worksheet, we will practice finding the cube root of a rational number using factorization or calculators and solving equations that include a cube root.
Q2:
Determine whether the cubic root of a perfect cube is a rational or an irrational number.
- A a rational number
- B an irrational number
Q3:
Find the value of .
- A
- B
- C
- D
- E
Q5:
Evaluate .
- A
- B
- C
- D
- E
Q7:
If possible, find the value of which satisfies , given that is in .
- A
- BNo value exists.
- C
- D
- E
Q8:
Determine whether the cube root of a rational number, which is not a perfect cube, is a rational or an irrational number.
- A an irrational number
- B a rational number
Q9:
Find the value of .
Q10:
Find the value of .
- A
- B
- C 0
- D
- E
Q11:
Express in its simplest form.
- A
- B
- C
- D
Q12:
Which of the following is true?
- A
- B
- C
- D
Q13:
Given that , find the value of , and state whether it is a rational or irrational number.
- A4, irrational
- B , rational
- C4, rational
- D , irrational
- E , irrational
Q14:
Find the value of .
Q15:
Calculate .
Q16:
Find the value of .
- A
- B
- C
- D
- E
Q17:
Half the cube of a number is 0.0625. Determine the number.