Worksheet: Minimizing the Radicand

In this worksheet, we will practice simplifying radical expressions.

Q1:

Express 7 5 + 2 8 2 7 in its simplest form.

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

Q2:

Calculate 6 × 4 9 ÷ 8 + 2 3 2 .

Q3:

Calculate 1 2 5 1 6 × 1 2 5 + 6 4 2 .

  • A 9 1 5
  • B 5 2 5
  • C 1 0 1 5
  • D 2 8 5

Q4:

Given that 𝑎 = 3 and 𝑏 = 2 , find the value of 𝑎 𝑏 2 6 .

Q5:

If 𝑥 = 4 1 0 and 𝑦 = 6 3 , is it true that 𝑥 𝑦 7 = 3 2 4 ?

  • Ayes
  • Bno

Q6:

Simplify 6 ( 𝑥 + 6 𝑦 ) 3 6 .

  • A ( 𝑥 + 6 𝑦 )
  • B ( 𝑥 + 𝑦 ) 6
  • C ( 𝑥 + 𝑦 )
  • D ( 𝑥 + 6 𝑦 ) 6

Q7:

Given that 𝑥 = 2 2 , 𝑦 = 1 5 , and 𝑧 = 6 4 , find the value of 𝑥 + ( 𝑥 𝑦 𝑧 ) 2 2 .

  • A 4 3 4 0
  • B 4 3 1 6 0
  • C 3 8 0
  • D 4 3 8 0

Q8:

Given that 𝑎 = 7 and 𝑏 = 7 1 , find the value of 𝑎 𝑏 1 5 1 6 .

  • A 7
  • B 7
  • C 1 7
  • D 1 7
  • E 1

Q9:

Simplify 5 5 0 .

  • A 5 5 0
  • B 1 2 5 2
  • C 1 0 2
  • D 2 5 2
  • E 1 0 2 5

Q10:

Find the additive inverse of the number 4 9 2 8 9 , giving your answer in its simplest form.

  • A 1 2 1 7
  • B 1 6
  • C 7 2 2
  • D 7 1 7

Q11:

If 𝑥 1 0 = 4 0 𝑥 where 𝑥 , find the value of 𝑥 .

Q12:

Express 6 3 + 2 1 1 2 in its simplest form.

  • A 7 7 + 2
  • B0
  • C 7 7 2
  • D 7 + 2

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