Squares and square roots

Lessons

• Introduction
  a)

  • What is a square root?
  • How to find side lengths of squares using square roots?
  • How to estimate non-perfect squares?
  
  
  b)

  What is a perfect square?
  
  

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• 1.
  Find the prime factorization. Then, identify the perfect squares.
  a)

  53
  
  
  b)

  71
  
  
  c)

  196
  
  

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• 2.
  Find the area of the square that has a side length of:
  a)

  15 cm
  
  
  b)

  21 cm
  
  

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• 3.
  Calculate.
  a)

  $\sqrt {16}$
  
  
  b)

  $\sqrt {49}$
  
  
  c)

  $\sqrt {2025}$
  
  

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• 4.
  
  
  
  a)

  Find the area of the rectangle.
  
  
  b)

  What is the side length of a square that has the same area as the rectangle above?
  
  

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