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Lesson: Simplifying Radical Expressions

Sample Question Videos

Worksheet • 8 Questions • 3 Videos

Q1:

Express √ 6 4 0 in the form π‘Ž √ 𝑏 where π‘Ž and 𝑏 are integers and 𝑏 takes the least possible value.

  • A 8 √ 1 0
  • B 6 4 √ 1 0
  • C 2 0 0 √ 2
  • D 2 0 √ 2

Q2:

Find the conjugate of 6 √ 7 + √ 3 , then find the product of 6 √ 7 + √ 3 and its conjugate.

  • A 6 √ 7 βˆ’ √ 3 , 249
  • B 1 6 √ 7 + √ 3 , 1
  • C 6 √ 7 βˆ’ √ 3 , 255
  • D 1 6 √ 7 + √ 3 , 249
  • E 1 6 √ 7 + √ 3 , 126

Q3:

Express 3 √ 4 5 in the form π‘Ž √ 𝑏 where π‘Ž and 𝑏 are integers and 𝑏 takes the least possible value.

  • A 9 √ 5
  • B 3 √ 5
  • C 1 3 . 5 √ 5
  • D 2 7 √ 5

Q4:

Express ο„ž 5 9 4 4 Γ— ο„ž 4 4 5 9 in its simplest form.

Q5:

Simplify √ 4 8 6 Γ— ο€» √ 4 2  ο€» √ 7  βˆ’ 5 βˆ’ 5 .

  • A 1 4
  • B 1 3 6
  • C54
  • D ο€» √ 6  Γ— ο€» √ 7  βˆ’ 5 βˆ’ 1 0

Q6:

Express 5 2 √ 2 5 2 in the form π‘Ž √ 𝑏 where π‘Ž and 𝑏 are integers and 𝑏 takes the least possible value.

  • A 1 5 √ 7
  • B 6 √ 7
  • C 9 0 √ 7
  • D 4 5 √ 7
  • E 5 2 √ 7

Q7:

Given that ο„ž π‘Ž 𝑏 = √ π‘Ž √ 𝑏 , simplify ο„ž 2 5 π‘₯ 4 .

  • A 5 π‘₯ 2
  • B π‘₯ 2 5 2
  • C 5 π‘₯ 4
  • D 2 5 π‘₯ 2
  • E π‘₯ 5 4

Q8:

Write √ 8 + √ 2 in the form π‘Ž √ 2 , where π‘Ž is an integer.

  • A 3 √ 2
  • B 7 √ 2
  • C 5 √ 2
  • D 4 √ 2
  • E 2 √ 2
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