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Worksheet: Cube Root of an Integer

Q1:

Evaluate 1 2 5 1 3 .

Q2:

What is the edge length of a cube whose volume is 64 cm3?

  • A16
  • B2
  • C8
  • D4

Q3:

Calculate 3 ο„ž 8 7 2 9 .

  • A 8 9
  • B 2 7 2 9
  • C 2 2 7
  • D 2 9
  • E 2 3

Q4:

Solve π‘₯ + 5 = 9 3 .

  • A π‘₯ = √ 1 4 , π‘₯ = βˆ’ √ 1 4
  • B π‘₯ = √ 1 4 3 , π‘₯ = βˆ’ √ 1 4 3
  • C π‘₯ = √ 1 4 3
  • D π‘₯ = √ 4 3
  • E π‘₯ = √ 4 , π‘₯ = βˆ’ √ 4

Q5:

Find the value of 3 √ 1 2 5 .

Q6:

Find the value of 3  ( βˆ’ 0 . 0 2 7 ) 2 .

  • A βˆ’ 0 . 3
  • B βˆ’ 0 . 0 9
  • C0.3
  • D0.09
  • E0.027

Q7:

Is √ 1 2 1 greater than, equal to, or less than 3 √ βˆ’ 4 2 ?

  • Aequal to
  • Bless than
  • Cgreater than

Q8:

Express 3 3 √ 8 7 5 βˆ’ 6 4 √ 8 + √ 5 1 2 + √ 4 4 8 in its simplest form.

  • A 3 √ 7
  • B βˆ’ 9 √ 7 3
  • C βˆ’ √ 7 3
  • D 9 √ 7 3

Q9:

Evaluate 3 √ 2 7 .

Q10:

If ο€Ή π‘₯ , 𝑦 βˆ’ 4  = ο€» βˆ’ 8 , √ 4  3 , find the values of π‘₯ and 𝑦 .

  • A π‘₯ = βˆ’ 6 , 𝑦 = βˆ’ 2
  • B π‘₯ = 2 , 𝑦 = 6
  • C π‘₯ = 4 , 𝑦 = 6
  • D π‘₯ = βˆ’ 2 , 𝑦 = 6

Q11:

Find the solution set of π‘₯ = 7 3 in β„š β€² .

  • A  βˆ’ √ 7 , √ 7 
  • B  βˆ’ √ 7  3
  • C  √ 7 
  • D  √ 7  3

Q12:

Find the value of ο€» √ 4 7  3 3 .

Q13:

Solve π‘₯ = 9 3 .

  • A π‘₯ = √ 9 3 , π‘₯ = βˆ’ √ 9 3
  • B π‘₯ = 3 , π‘₯ = βˆ’ 3
  • C π‘₯ = 3
  • D π‘₯ = √ 9 3
  • E π‘₯ = √ 3 3 , π‘₯ = βˆ’ √ 3 3

Q14:

The cube root of a number 𝑧 is 4 π‘₯ 𝑦 3 1 5 . Write this root in the form 3 √ 𝑧 .

  • A 3 √ 1 2 π‘₯ 𝑦 6 1 8
  • B 3 √ 4 π‘₯ 𝑦 9 4 5
  • C 3 √ 6 4 π‘₯ 𝑦 3 1 5
  • D 3 √ 6 4 π‘₯ 𝑦 9 4 5
  • E 3 √ 1 2 π‘₯ 𝑦 9 4 5

Q15:

Find the value of 3 √ 1 2 5 .

Q16:

Find the value of  βˆ’ 5 5 √ βˆ’ 2 1 6 3 .

  • A 6 √ 5 5
  • B 6 √ 5 5 3
  • C 3 √ 3 3 0
  • D √ 3 3 0
  • E330

Q17:

Solve π‘₯ = 3 1 0 3 .

  • A π‘₯ = √ 3 1 0 3 , π‘₯ = βˆ’ √ 3 1 0 3
  • B π‘₯ = ο„ž 3 1 0 , π‘₯ = βˆ’ ο„ž 3 1 0
  • C π‘₯ = ο„ž 3 1 0
  • D π‘₯ = ο„ž 3 1 0 3
  • E π‘₯ = √ 3 1 0 , π‘₯ = βˆ’ √ 3 1 0

Q18:

If ο€Ή π‘₯ βˆ’ 7 , 𝑦 βˆ’ 6  = ο€» 1 , | | √ βˆ’ 6 4 | |  3 3 , find ( 𝑦 , π‘₯ ) .

  • A ( βˆ’ 2 , 2 )
  • B ( 6 4 , 1 )
  • C ( 6 4 , 2 )
  • D ( 1 0 , 2 )