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
  • B57+5
  • C57+35
  • D67

Q3:

Simplify 2+95+2.

  • A45
  • B432+4
  • C4243
  • D22+4
  • E14

Q4:

Simplify 63636+6.

  • A36+18
  • B66+24
  • C76+18
  • D66+12

Q5:

Express 15115+23 in its simplest form.

  • A553+65
  • B53+35
  • C195
  • D333+155
  • E6115

Q6:

Express 10+17+75 in its simplest form.

  • A192+217
  • B192+1017
  • C192+2017
  • D102+2017

Q7:

Express 7+384 in its simplest form.

Q8:

Find the value of 21+132113.

Q9:

Simplify 7+67+7.

  • A42
  • B3571
  • C735
  • D271
  • E13

Q10:

Simplify 797+7.

  • A63
  • B5672
  • C2756
  • D272
  • E16

Q11:

Simplify 768+7.

  • A48
  • B55714
  • C147+55
  • D2714
  • E2

Q12:

Simplify 53574+5.

  • A35+28
  • B105+33
  • C115+28
  • D105+23

Q13:

Express 1072+5 in its simplest form.

  • A145+52
  • B25+52
  • C80
  • D355+102
  • E1910

Q14:

Express 126+8212682 in its simplest form.

Q15:

Simplify 87(17).

  • A15
  • B7+8
  • C8756
  • D97

Q16:

Simplify 65(7+5).

  • A47
  • B65+42
  • C42530
  • D435

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.

  • A242
  • B24
  • C166
  • D384

Q20:

Calculate 53×53.

Q21:

Calculate 123×73.

Q22:

Express 5944×4459 in its simplest form.

Q23:

What is the value of 7×8?

Q24:

Express 4×16 in its simplest form.

Q25:

Express 12×14 in its simplest form.

  • A4
  • B12
  • C14
  • D2

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