Lesson Worksheet: Square Roots of Perfect Squares Mathematics • 8th Grade

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


Simplify โˆš100๐‘ฅ๏Šง๏Šฌ.

  • A100|๐‘ฅ|
  • B10๐‘ฅ๏Šฎ
  • C100๐‘ฅ๏Šฎ
  • D10|๐‘ฅ|
  • E10๐‘ฅ๏Šง๏Šฌ


Find the value of โˆš144.


Find the two square roots of 49.

  • A23
  • B32,โˆ’32
  • C49,โˆ’49
  • D23,โˆ’23
  • Eโˆ’23


Calculate ๏„ž179โˆ’1932.

  • A43
  • B47
  • C12
  • D23
  • E7196


Calculate ยฑ๏„ž361100.

  • A1910,โˆ’1910
  • B1929,โˆ’1929
  • C750,โˆ’750
  • D710,โˆ’710


Calculate โˆ’โˆš0.25.

  • Aโˆ’12
  • Bโˆ’1
  • Cโˆ’53
  • Dโˆ’52


Evaluate โˆ’โˆš0.000169.


Given that (๐‘‹๐‘Œ)=100๏Šจ๏Šจcm and ๐‘ is the midpoint of ๐‘‹๐‘Œ, determine the length of ๐‘‹๐‘.

  • A25 cm
  • B5 cm
  • C50 cm
  • D52 cm


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.


Which of the following can be the area of a square if the measure of its side length is a whole number?

  • A247 ft2
  • B489 ft2
  • C1,764 ft2
  • D868 ft2
  • E531 ft2

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