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Basics of Square Roots

Numbers and Decimals Basics of Square Roots

🎬 Video Tutorial

(0:01) Definition of Square Roots: The square root of a number $x$ is a non-negative value that, when squared, equals $x$ (e.g., $\sqrt{9} = 3$ because $3^2 = 9$).
(0:24) Square Root Symbol: The square root symbol always represents a non-negative result. For example, $\sqrt{16} = 4$, not $-4$, even though $(-4)^2 = 16$.
(0:54) No Square Roots of Negative Numbers: The square root of a negative number is undefined in real numbers (e.g., $\sqrt{-1}$ is not possible in real numbers).
(2:33) Examples of Perfect Squares: Knowing perfect squares like $144 = 12^2$ helps in quickly identifying square roots without calculation.

📂 Revision Cards

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 including 0, 400, and 144, and a list of perfect squares from 0 to 15.

ChatCat (AI Math Tutor)

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