Estimating square roots

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Intros
Lessons
    • What is a square root?
    • How to find side lengths of squares using square roots?
  1. How to estimate square roots?
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Examples
Lessons
  1. Estimate the values to two decimal places. Check the answers with a calculator.
    1. 24\sqrt {24}
    2. 66\sqrt {66}
    3. 110\sqrt {110}
  2. What is a whole number that has a square number between 8 and 9? Check your answer with a calculator.
  3. Alice has baked a square cake that has a top surface area of 335 cm2c{m^2}. She has a rectangular box that has a width of 20 cm and length of 27 cm.
    1. Estimate the side length of the cake to two decimal places. Check your answer with a calculator.
    2. Can the cake fit into the box? Why?