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Worksheet: Adding and Subtracting Square Roots

Q1:

Simplify 1 2 5 + 3 5 .

  • A 3 6 5
  • B 1 5 1 0
  • C 180
  • D 1 5 5
  • E 1 5 5 3

Q2:

Simplify 1 4 1 0 + 2 1 0 .

  • A 2 8 1 0
  • B 1 6 2 0
  • C 280
  • D 1 6 1 0
  • E 1 6 1 0 3

Q3:

Simplify 1 0 7 + 1 0 7 .

Q4:

Calculate .

  • A
  • B
  • C
  • D
  • E

Q5:

Express 1 2 5 + 1 7 1 2 5 2 5 1 5 + 1 0 3 in its simplest form.

  • A 6 5 7
  • B 6 5 7
  • C 7 5 7
  • D 7 5 7

Q6:

Find the difference between 1 2 and 9 1 6 .

  • A 2 3
  • B 5 4
  • C 1 0 3
  • D 1 4

Q7:

Which of the following is closest to 7 + 1 1 2 2 ?

  • A 1 4 + 2 2
  • B 2 7 + 2 1 1
  • C 4 9 + 1 1
  • D 4 9 + 1 1 9
  • E 1 8 2

Q8:

Calculate 4 8 4 + 9 .

Q9:

Simplify 4 2 5 5 2 2 3 .

  • A 9 1 0 1 0
  • B 2 3 1 0 2 0
  • C 1 7 1 0 1 0
  • D 9 1 0 2 0
  • E 1 6 2 5

Q10:

Simplify 2 2 × 2 2 1 1 + 5 2 1 0 2 2 3 2 .

  • A 1 6 6 1
  • B 4 1 2 1 3
  • C 2 1 0 1 1
  • D 1 3 6 1

Q11:

Simplify 4 1 0 3 7 4 1 0 by rationalising the denominator.

  • A 1 6 0 + 1 2 7 0 1 6 0
  • B 2 1 + 4 7 0 2 8
  • C 4 0 3 7 0 1 0
  • D 4 0 3 7 0 4 0
  • E 1 6 0 1 2 7 0 1 6 0

Q12:

Express 4 5 + 1 0 5 1 5 + 5 5 3 3 in its simplest form.

  • A 1 2 5
  • B 1 2 3
  • C 2 1 5
  • D 1 2 1 5
  • E 1 2 1 5 + 6 5

Q13:

Given that 𝑥 is the additive inverse of 𝑦 and 1 2 ( 𝑦 𝑥 ) = 9 1 0 , find the value of 𝑥 𝑦 1 8 1 0 .