Lesson: Operations with Cube Roots

In this lesson, we will learn how to perform operations on algebraic expressions with cubic roots.

Sample Question Videos

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  • 04:46
  • 00:59

Worksheet: Operations with Cube Roots • 25 Questions • 5 Videos

Q1:

Express 3 3 4 × 1 6 in its simplest form.

Q2:

Simplify 3 3 1 8 + 1 8 .

Q3:

Express 3 3 3 3 2 9 × 6 + 2 1 4 in its simplest form.

Q4:

Simplify 3 0 . 0 6 4 𝑡 𝑢 4 2 2 7 .

Q5:

Simplify 3 𝑚 6 9 .

Q6:

Express 6 1 9 4 4 7 7 2 3 3 in its simplest form.

Q7:

Express 3 3 3 3 7 5 + 1 8 × 3 6 in its simplest form.

Q8:

Express 5 5 0 0 × 5 0 0 ÷ ( 1 6 × 7 5 ) 3 3 3 in its simplest form.

Q9:

Express 5 1 9 2 + 5 6 4 8 + 3 7 5 3 3 3 in its simplest form.

Q10:

Express 3 3 3 1 2 8 + 6 1 4 + 3 5 4 in its simplest form.

Q11:

Express 3 3 2 5 6 2 0 2 1 7 1 6 in its simplest form.

Q12:

Find the value of 3 3 1 1 2 5 ÷ 2 7 1 0 0 0 .

Q13:

Simplify 4 6 ÷ 3 6 6 6 + 6 + 3 3 2 .

Q14:

Given that 𝑎 = 5 5 3 and 𝑏 = 5 + 5 3 , find the value of ( 𝑎 𝑏 ) 5 .

Q15:

Given that 𝑎 = 5 4 3 and 𝑏 = 5 + 4 3 , find the value of ( 𝑎 + 𝑏 ) 3 .

Q16:

Calculate 3 5 3 3 .

Q17:

Determine the value of 3 0 . 7 2 9 × 7 2 9 .

Q18:

Given that 𝑥 = 6 1 0 3 and 𝑦 = 6 + 1 0 3 , find the value of 𝑥 + 𝑦 2 2 .

Q19:

Given that 𝑥 = 2 + 2 3 and 𝑦 = 2 2 3 , find the value of 𝑥 𝑦 𝑥 + 𝑦 3 .

Q20:

Express 3 1 2 5 0 in the form 𝑎 𝑏 3 where 𝑎 and 𝑏 are integers and 𝑏 takes the least possible value.

Q21:

Find the value of 6 4 4 8 6 5 6 3 3 expressing your answer in the simplest form.

Q22:

Express 3 3 1 2 × 1 4 in its simplest form.

Q23:

Given that 𝑥 = 4 and 𝑦 = 3 8 5 3 , find the value of 𝑥 𝑦 3 .

Q24:

Express 4 6 4 8 3 in the form 𝑎 𝑏 3 where 𝑎 and 𝑏 are integers and 𝑏 takes the least possible value.

Q25:

Express 3 3 6 4 8 1 in its simplest form.

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