Worksheet: Roots of Monomials

In this worksheet, we will practice simplifying roots of monomials involving single and multiple variables.

Q1:

Simplify 100𝑥.

  • A100|𝑥|
  • B10𝑥
  • C100𝑥
  • D10|𝑥|
  • E10𝑥

Q2:

Simplify 64𝑥.

  • A2𝑥
  • B4𝑥
  • C2𝑥
  • D64𝑥
  • E8𝑥

Q3:

Simplify 512𝑥.

  • A4𝑥
  • B2𝑥
  • C2𝑥
  • D8𝑥
  • E64𝑥

Q4:

Which of the following has the same value as 729𝑚𝑛?

  • Athe length of one side of a cube whose volume is 729𝑚𝑛
  • Bthe expression 243𝑚𝑛
  • Cthe length of one side of a square whose area is 729𝑚𝑛
  • Dthe expression 729𝑚𝑛

Q5:

Simplify 264𝑥𝑦+8𝑥.

  • A(6𝑥𝑦)2𝑥
  • B(4𝑥𝑦+2𝑥)2𝑥
  • C(4𝑥𝑦+2𝑥)2𝑥
  • D(2𝑥)2𝑥
  • E(4𝑥𝑦)2𝑥

Q6:

Simplify 264𝑥𝑦+2𝑥.

  • A4𝑥𝑦+12𝑥
  • B(4𝑥𝑦+1)2𝑥
  • C4𝑥𝑦+2𝑥
  • D(4𝑥𝑦+1)2𝑥
  • E2𝑥

Q7:

Simplify: 64𝑚.

  • A16𝑚
  • B64𝑚
  • C4𝑚
  • D4𝑚
  • E16𝑚

Q8:

Which of the following has the same value as 64𝑚?

  • Athe volume of a cube whose side length is 4𝑚
  • Bthe area of a square whose side length is 8𝑚
  • Cthe area of a square whose side length is 8𝑚
  • Dthe total surface area of a cube whose side length is 4𝑚

Q9:

Given that 𝑥=𝑎, express 𝑎 in terms of 𝑥.

  • A𝑥
  • B𝑥
  • C𝑥
  • D𝑥
  • E𝑥

Q10:

Express 9𝑥100𝑦𝑧 in its simplest form.

  • A3𝑥10𝑦𝑧
  • B3𝑥10𝑦𝑧
  • C|||3𝑥10𝑦𝑧|||
  • D3𝑥100𝑦𝑧
  • E|||9𝑥100𝑦𝑧|||

Q11:

Simplify 0.064𝑡𝑢.

  • A0.04𝑡𝑢
  • B0.4𝑡𝑢
  • C0.04𝑡𝑢
  • D0.016𝑡𝑢
  • E0.4𝑡𝑢

Q12:

Simplify 𝑚.

  • A𝑚
  • B||𝑚||
  • C𝑚
  • D𝑚
  • E||𝑚||

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