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.

Q1:

Simplify โˆš100๐‘ฅ๏Šง๏Šฌ.

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

Q2:

Find the value of โˆš144.

Q3:

Find the two square roots of 49.

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

Q4:

Calculate ๏„ž179โˆ’1932.

  • A43
  • B47
  • C12
  • D23
  • E7196

Q5:

Calculate ยฑ๏„ž361100.

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

Q6:

Calculate โˆ’โˆš0.25.

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

Q7:

Evaluate โˆ’โˆš0.000169.

Q8:

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

Q9:

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.

Q10:

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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