Lesson Worksheet: Square Roots Mathematics

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

Q1:

Find the possible values of 𝑥 if 𝑥=14.

  • A12
  • B12,12
  • C18
  • D18
  • E18,18

Q2:

A modern art museum acquired a large, square painting with an area of 121 square feet. What is its side length?

Q3:

A chessboard has an area of 144 square inches, and there is a 1-inch border around the 64 squares on the board. Determine the length of one side of the region containing the small squares.

Q4:

Calculate the side length of a square whose area is 6‎ ‎400 dm2.

Q5:

Find 441529.

  • A123
  • B2321
  • C2123
  • D2321
  • E2123

Q6:

Calculate 1+4+9+400+841+900+961.

Q7:

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

Q8:

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.

Q9:

Given that (𝑋𝑌)=100cm and 𝑍 is the midpoint of 𝑋𝑌, determine the length of 𝑋𝑍.

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

Q10:

Evaluate 0.000169.

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