Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to find the cube root of a rational number using factorization or calculators and how to solve equations that include a cube root.

Q1:

Evaluate 3 6 4 3 4 3 .

Q2:

Find the value of 3 3 6 4 2 7 − − 1 8 .

Q3:

Find the value of 3 √ 4 × 0 . 1 9 6 .

Q4:

Determine whether the cube root of a rational number, which is not a perfect cube, is a rational or an irrational number.

Q5:

Solve 𝑥 = 2 7 8 3 .

Q6:

Calculate √ 0 . 0 0 0 3 6 1 + 5 . 9 8 1 .

Q7:

Find the value of 3 √ 0 . 0 2 7 .

Q8:

Find the value of 3 √ − 0 . 0 0 0 5 1 2 .

Q9:

Find the value of 3 4 1 2 ÷ 1 0 2 3 .

Q10:

Given that 𝑥 8 + 7 = 1 3 , find the value of 𝑥 , and state whether it is a rational or irrational number.

Q11:

Find the value of 3 3 − 1 0 0 0 7 2 9 + 2 7 1 0 0 0 .

Q12:

Express 3 3 √ 2 5 6 2 − 4 2 7 in its simplest form.

Q13:

If possible, find the value of 𝑥 which satisfies − 0 . 2 1 6 𝑥 = 2 7 3 , given that 𝑥 is in ℚ .

Q14:

Evaluate 3 3 √ − 2 7 + √ − 0 . 1 2 5 + 5 1 1 6 .

Q15:

Find the value of 3 3 − 2 7 8 × 2 7 6 4 .

Q16:

Which of the following is true?

Q17:

Determine whether the cubic root of a perfect cube is a rational or an irrational number.

Don’t have an account? Sign Up