Math - Roots

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Radical expression

A root of x is a number that, when raised to a certain power (the index), equals x (the radicand).


Square Root

Square root

The square root is a number that, when multiplied by itself, equals the radicand.

1=1   4=29=3   16=425=5   36=649=7   64=881=9   100=10\sqrt{1} = 1~~~\sqrt{4} = 2\\ \sqrt{9} = 3~~~\sqrt{16} = 4\\ \sqrt{25} = 5~~~\sqrt{36} = 6\\ \sqrt{49} = 7~~~\sqrt{64} = 8\\ \sqrt{81} = 9~~~\sqrt{100} = 10


Cubic Root

Cubic root

The cubic root is a number that, when raised to the power of three, equals the radicand.

13=1   83=2273=3   643=41253=5   2163=63433=7   5123=87293=9   10003=10\sqrt[3]{1} = 1~~~\sqrt[3]{8} = 2\\ \sqrt[3]{27} = 3~~~\sqrt[3]{64} = 4\\ \sqrt[3]{125} = 5~~~\sqrt[3]{216} = 6\\ \sqrt[3]{343} = 7~~~\sqrt[3]{512} = 8\\ \sqrt[3]{729} = 9~~~\sqrt[3]{1000} = 10


Simplifying Radical Expressions

Examples of simplifying a radical expression

Simplifying Radicals - Best Explanation (youtube)
Learn how to simplify a radical expression with variables and a number (youtube)


Radical Rules

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