Lesson Worksheet: Simplifying Radical Expressions Mathematics

In this worksheet, we will practice simplifying radicals and expressions involving radicals.

Q1:

Simplify 164𝑗𝑘𝑚.

  • A164||𝑗𝑘𝑚||
  • B164𝑗𝑘𝑚
  • C18𝑗𝑘𝑚
  • D18||𝑗𝑘𝑚||
  • E18𝑗𝑘𝑚

Q2:

Express 345 in the form 𝑎𝑏 where 𝑎 and 𝑏 are integers and 𝑏 takes the least possible value.

  • A95
  • B35
  • C13.55
  • D275

Q3:

Express 640 in the form 𝑎𝑏 where 𝑎 and 𝑏 are integers and 𝑏 takes the least possible value.

  • A202
  • B2002
  • C810
  • D6410

Q4:

Write 12 in the form 𝑎𝑏, where 𝑎 and 𝑏 are integers and 𝑏 is the smallest possible positive value.

  • A43
  • B3
  • C23
  • D32
  • E62

Q5:

Given that 𝑎𝑏=𝑎𝑏, simplify 121𝑥.

  • A121|𝑥|
  • B||𝑥||121
  • C11|𝑥|
  • D𝑥11
  • E11𝑥

Q6:

Calculate 53×53.

Q7:

Calculate 123×73.

Q8:

Express 38×22 in its simplest form.

Q9:

Express 42×48 in its simplest form.

  • A242
  • B24
  • C166
  • D384

Q10:

Express 5944×4459 in its simplest form.

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