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Worksheet: nth Root of Negative Real Numbers

Q1:

Simplify 3 √ βˆ’ 0 . 0 6 4 π‘Ž 3 0 .

  • A βˆ’ 0 . 0 6 4 π‘Ž 1 0
  • B βˆ’ 0 . 4 π‘Ž 3 0
  • C 0 . 0 4 π‘Ž 1 0
  • D βˆ’ 0 . 4 π‘Ž 1 0
  • E 0 . 4 π‘Ž 1 0

Q2:

Simplify 3 √ βˆ’ 0 . 0 0 0 0 6 4 π‘Ž 7 2 .

  • A βˆ’ 0 . 0 0 0 0 6 4 π‘Ž 2 4
  • B βˆ’ 0 . 0 4 π‘Ž 7 2
  • C 0 . 0 0 4 π‘Ž 2 4
  • D βˆ’ 0 . 0 4 π‘Ž 2 4
  • E 0 . 0 4 π‘Ž 2 4

Q3:

Find the value of βˆ’ √ βˆ’ 1 4 4 .

  • A 1 2 𝑖
  • B βˆ’ 1 2
  • C12
  • D βˆ’ 1 2 𝑖
  • E βˆ’ 1 4 4 𝑖

Q4:

What is ( 2 βˆ’ 7 𝑖 ) + ( βˆ’ 4 βˆ’ 3 𝑖 ) 2 ?

  • A βˆ’ 4 5 βˆ’ 2 8 𝑖
  • B βˆ’ 2 βˆ’ 1 0 𝑖
  • C βˆ’ 4 1 βˆ’ 2 5 𝑖
  • D βˆ’ 4 9 βˆ’ 3 1 𝑖
  • E βˆ’ 4 1 βˆ’ 3 1 𝑖

Q5:

What is √ βˆ’ 2 5 ?

  • A5
  • B βˆ’ 5
  • C βˆ’ 5 𝑖
  • D 5 𝑖
  • E 2 5 𝑖

Q6:

Find the value of 7  ( βˆ’ 1 2 8 ) 2 .

Q7:

Find the value of 3  ( βˆ’ 1 0 0 0 ) 2 .

Q8:

Is the cube root of a negative number positive or negative?

  • A negative
  • B positive