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Worksheet: Square Roots of Perfect Squares

In this worksheet, we will practice finding square roots of perfect square integers, fractions, and decimals.

Q1:

Calculate √ 1 + √ 4 + √ 9 + √ 4 0 0 + √ 8 4 1 + √ 9 0 0 + √ 9 6 1 .

Q2:

Calculate √ 8 1 × 1 6 .

Q3:

Find the two square roots of 4 9 .

  • A − 2 3
  • B 2 3
  • C 4 9 , − 4 9
  • D 2 3 , − 2 3
  • E 3 2 , − 3 2

Q4:

Replace 𝑥 by a positive number to make 1 6 9 = 𝑥 2 true.

  • A 2 3
  • B 1 6 3
  • C 8 3
  • D 4 3
  • E 4 9

Q5:

A squared mosaic is made up of 1 800 white squares and 1 800 black squares of equal sizes. Determine the number of squares required to make one side of the mosaic.

Q6:

Evaluate − √ 0 . 0 0 0 1 6 9 .

Q7:

Evaluate − √ 0 . 0 0 8 1 .

Q8:

Solve 𝑥 = 1 6 1 6 9 2 .

  • A 𝑥 = 1 or 𝑥 = 1 6 1 6 9
  • B 𝑥 = 1 6 1 6 9 or 𝑥 = − 1 6 1 6 9
  • C 𝑥 = 1 3 4 or 𝑥 = − 1 3 4
  • D 𝑥 = 4 1 3 or 𝑥 = − 4 1 3
  • E 𝑥 = 1 6 9 1 6 or 𝑥 = − 1 6 9 1 6

Q9:

Calculate − √ 0 . 2 5 .

  • A − 5 3
  • B − 1
  • C − 5 2
  • D − 1 2

Q10:

Find − 4 4 1 5 2 9 .

  • A − 2 3 2 1
  • B 2 1 2 3
  • C 2 3 2 1
  • D − 2 1 2 3
  • E − 1 2 3

Q11:

Calculate ± 3 6 1 1 0 0 .

  • A 7 5 0 , − 7 5 0
  • B 7 1 0 , − 7 1 0
  • C 1 9 2 9 , − 1 9 2 9
  • D 1 9 1 0 , − 1 9 1 0

Q12:

Estimate √ 8 6 . 2 to the nearest whole number.

Q13:

Calculate 1 9 6 2 5 .

  • A 1 8 5
  • B 9 8 1 2
  • C 1 4 9
  • D 1 4 5

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