Lesson Worksheet: Adding and Subtracting Square Roots Mathematics • 10th Grade

In this worksheet, we will practice adding and subtracting square roots and practice using that to simplify expressions.

Q1:

Simplify 2+6+86.

Q2:

Simplify 77+6+47.

  • A2+7
  • B157
  • C1+37
  • D17

Q3:

Given that 𝑎=673 and 𝑏=773, find the value of 𝑎+𝑏.

  • A173
  • B1
  • C15+3
  • D1143

Q4:

Given that 𝑎=2+9 and 𝑏=29, find the value of 𝑎𝑏.

Q5:

Simplify 123+123+123.

  • A3123
  • B369
  • C126
  • D123

Q6:

Simplify 125+35.

  • A365
  • B155
  • C155
  • D1510
  • E180

Q7:

Write 8+2 in the form 𝑎2, where 𝑎 is an integer.

  • A72
  • B42
  • C32
  • D52
  • E22

Q8:

Simplify 1223+427.

  • A123
  • B73
  • C33
  • D113
  • E163

Q9:

Given that 98+1050=𝑥2, find the value of 𝑥.

Q10:

Express 75+2827 in its simplest form.

  • A83+27
  • B23+27
  • C410
  • D43
  • E8327

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