Lesson

Title: Representing Radicals with Exponents

Grade: 8-b Lesson: S2-L1

Explanation: Hello students, let us learn a new topic in algebra today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Representing Radicals with Exponents

Representing Radicals with Exponents refers to expressing a radical expression as an expression with a fractional exponent.
The general form is \$a^(1/n) \$​

Here, \$ n\sqrt(a)​ \$ (the radical form) is equivalent to \$ a^(1/n) \$​ (the exponent form), where: a is the radicand.
n is the index of the radical, which becomes the denominator of the exponent.

1

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Explanation: The image shows how to write radicals with exponents:

\$ a^(1/2) = (\sqrt a) \$​ (square root).

\$ 64^(1/2) = (\sqrt 64) ​= 8 \$ (example: square root of 64 is 8).

\$ a^(1/n) = n(\sqrt a) \$​ (n-th root).


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