Square Numbers and Square Roots Quiz

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Questions and Answers

What is the square of the number 7?

  • 21
  • 49 (correct)
  • 14
  • 35

How is the area of a square calculated if the side length is 5m?

  • 5m + 5m = 10m²
  • 5m * 5m = 10m²
  • 5m - 5m = 0m²
  • 5m * 5m = 25m² (correct)

What is the square root of 36?

  • 6 (correct)
  • 12
  • 9
  • 18

If the side length of a square is 4m, what is the area expressed in square meters?

<p>16m² (D)</p> Signup and view all the answers

Which of the following represents the operation of finding a square root?

<p>√n (C)</p> Signup and view all the answers

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Study Notes

Square Numbers

  • A square number is the result of a number multiplied by itself.
  • Example: 3 * 3 = 9, where 9 is a square number.
  • Another notation for squares is using a superscript "2": 3² = 9.
  • Square numbers are used to calculate the area of squares.
  • The area of a square is calculated by multiplying the side length by itself: Area = side * side = a * a = a².
  • If the side length of a square is 3 meters, the area is 3m * 3m = 9m².

Square Roots

  • Finding the square root is the reverse operation of squaring a number.
  • The square root of a number n is represented as √n.
  • The square root of a number is the number that, when multiplied by itself, gives the original number.
  • Example: √(8m²) = √((3m)²) = √(3m * 3m) = 3m.
  • √(3)² = 3, √(9) = 3.

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