Lesson Worksheet: Adding and Subtracting Radical Expressions Mathematics

In this worksheet, we will practice adding and subtracting radical expressions.

Q1:

Simplify −7−√7+6+4√7.

  • A2+√7
  • B−1−5√7
  • C−1+3√7
  • D−1−√7

Q2:

Simplify −2+√6+8−√6.

Q3:

Simplify √123+√123+√123.

  • A3√123
  • B√369
  • C√126
  • D√123

Q4:

Simplify −3+√3−2.

  • A−√3
  • B−5+√3
  • C−1−√3
  • D−5−√3

Q5:

Simplify √12−2√3+4√27.

  • A12√3
  • B7√3
  • C3√3
  • D11√3
  • E16√3

Q6:

Simplify 9+7√3−8+9√3.

  • A17+√3
  • B1−2√3
  • C1+16√3
  • D1+7√3

Q7:

Simplify 6−9√7+3−7√7.

  • A−7+√7
  • B9−2√7
  • C9−16√7
  • D9−9√7

Q8:

Simplify 9−4√6−1−9√6.

  • A−5+√6
  • B8+5√6
  • C8−13√6
  • D8−4√6

Q9:

Simplify −3+√5+8−√5.

Q10:

Simplify 9+√7+−2−√7.

Q11:

Simplify √85+√85+√85.

  • A3√85
  • B√255
  • C√88
  • D√85

Q12:

Simplify 12√5+3√5.

  • A36√5
  • B15√5
  • C15√5
  • D15√10
  • E180

Q13:

Simplify √107+−√107.

Q14:

Express √125+17√125−2515+10 in its simplest form.

  • A657
  • B757
  • C−757
  • D−657

Q15:

Calculate √484+√9.

Q16:

Simplify 4√2√5−√52√2.

  • A−23√1020
  • B−9√1010
  • C1625
  • D−17√1010
  • E−9√1020

Q17:

Given that 𝑥 is the additive inverse of 𝑦 and 12(𝑦−𝑥)=9−√10, find the value of 𝑥𝑦−18√10.

Q18:

Express √256−√4 in its simplest form.

  • A3
  • B−√4
  • C3√4
  • D−3√4

Q19:

Express 5√54−√320 in its simplest form.

  • A15√2−4√5
  • B11√2
  • C11√3
  • D15√2+4√5

Q20:

Given that 𝑎=√5+8 and 𝑏=√5−8, find the value of 𝑎+𝑏.

  • A2√5
  • B69
  • C−59
  • D16

Q21:

Given that 𝑎=√6−4 and 𝑏=√6−4, find the value of 𝑎+𝑏.

  • A0
  • B2√6−4
  • C2√6
  • D2√6−8
  • E−8

Q22:

Evaluate √100−√−216.

Q23:

Determine the value of 51625−11√3−9√125−14√3.

  • A−41+3√3
  • B−5−25√3
  • C49−25√3
  • D−41−11√3
  • E−41−25√3

Q24:

Express 5√6−9√6+4√6+√6 in its simplest form.

  • A−4√6+5√6
  • B−8√6+9√6
  • C√6
  • D9√6−8√6
  • E9√6−10√6

Q25:

Find the value of −475+−475.

  • A0
  • B−92,778125
  • C2,20925
  • D−945

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