Worksheet: Multiplying Radical Expressions

In this worksheet, we will practice multiplying radicals (or surds) and using that to simplify expressions.

Q1:

Express 510+3351033 in its simplest form.

Q2:

Simplify 57(1+7).

  • A12
  • B 5 7 + 5
  • C 5 7 + 3 5
  • D 6 7

Q3:

Simplify 2+95+2.

  • A14
  • B 4 5
  • C 4 2 4 3
  • D 2 2 + 4
  • E 4 3 2 + 4

Q4:

Simplify 63636+6.

  • A 3 6 + 1 8
  • B 6 6 + 2 4
  • C 7 6 + 1 8
  • D 6 6 + 1 2

Q5:

Express 15115+23 in its simplest form.

  • A 5 5 3 + 6 5
  • B 5 3 + 3 5
  • C195
  • D 3 3 3 + 1 5 5
  • E 6 1 1 5

Q6:

Express 10+17+75 in its simplest form.

  • A 1 9 2 + 2 1 7
  • B 1 9 2 + 1 0 1 7
  • C 1 9 2 + 2 0 1 7
  • D 1 0 2 + 2 0 1 7

Q7:

Express 7+384 in its simplest form.

  • A 1 0 + 8 4
  • B 1 0 2 2 1
  • C 7 + 3
  • D 1 0 + 2 2 1
  • E10

Q8:

Find the value of 21+132113.

  • A 6 4
  • B 1 6 4
  • C 1 6 4
  • D64

Q9:

Simplify 7+67+7.

  • A 3 5 7 1
  • B 4 2
  • C13
  • D 2 7 1
  • E 7 3 5

Q10:

Simplify 797+7.

  • A 2 7 5 6
  • B 1 6
  • C 2 7 2
  • D 6 3
  • E 5 6 7 2

Q11:

Simplify 768+7.

  • A2
  • B 5 5 7 1 4
  • C48
  • D 2 7 1 4
  • E 1 4 7 + 5 5

Q12:

Simplify 53574+5.

  • A 3 5 + 2 8
  • B 1 0 5 + 3 3
  • C 1 1 5 + 2 8
  • D 1 0 5 + 2 3

Q13:

Express 1072+5 in its simplest form.

  • A 1 4 5 + 5 2
  • B 2 5 + 5 2
  • C80
  • D 3 5 5 + 1 0 2
  • E 1 9 1 0

Q14:

Express 126+8212682 in its simplest form.

Q15:

Simplify 87(17).

  • A 1 5
  • B 7 + 8
  • C 8 7 5 6
  • D 9 7

Q16:

Simplify 65(7+5).

  • A47
  • B 6 5 + 4 2
  • C 4 2 5 3 0
  • D 4 3 5

Q17:

Given that 𝑥16+2=162, find the value of 𝑥 stating your answer in simplest form.

Q18:

Express 38×22 in its simplest form.

Q19:

Express 42×48 in its simplest form.

  • A 2 4 2
  • B24
  • C 1 6 6
  • D384

Q20:

Calculate 53×53.

Q21:

Calculate 123×73.

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