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Basics of Square Roots

Learn what square roots are and how to work them out, like 9=3\sqrt{9} = 3 and 144=12\sqrt{144} = 12. Let’s get started! 🚀

Basics of Square Roots - introduction visual

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Flashcards

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Examples showing the square roots of 9 and 25, explained as non-negative numbers that when squared, return the original number.Explanation of square roots, showing they are non-negative numbers, and negative numbers do not have real square roots, with examples.Practising square roots with examples √0 = 0, √400 = 20, √144 = 12 and their squares shown alongside.Practising square roots with examples including 0, 400, and 144, and a list of perfect squares from 0 to 15.

🛎️ What Is a Square Root?

  • A square root of a number is a non-negative number that multiplies by itself to give the original number.
  • For example, 9=3\sqrt{9} = 3 because 3×3=93 \times 3 = 9.

🛎️ Important Rules About Square Roots

  • Square roots are non-negative, so x≥0\sqrt{x} \ge 0.
  • Negative numbers do not have square roots because no number squared is negative.

🛎️ Practising Square Roots

  • 0=0\sqrt{0} = 0, 144=12\sqrt{144} = 12, and 400=20\sqrt{400} = 20.
  • Always check by squaring your answer to see if you get the original number.

🛎️ Perfect Squares to Remember

  • Perfect squares are numbers made by squaring whole numbers like 1,4,9,16,251, 4, 9, 16, 25.
  • Knowing these helps you find square roots quickly in exams.

Practice Questions

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Interactive Activity

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