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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! πŸš€

Basics of Square Roots - introduction visual

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Basics of Square Roots poster

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Square roots of 9 and 25 explained as non-negative values that, when squared, give the original numberSquare root properties: always non-negative, and negative numbers have no real square rootsPractising 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.

πŸ›ŽοΈ 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 3Γ—3=93 \times 3 = 9.

πŸ›ŽοΈ Important Rules About Square Roots

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

πŸ›ŽοΈ 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.

πŸ›ŽοΈ 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.

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