SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Adding and Subtracting Radicals

Grade: 8-b Lesson: S1-L6

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

Lesson:

Definition: Radicals:

In mathematics, a radical is an expression that includes a root symbol "\$(√)\$".
The most common radical is the square root, but there are also cube roots, fourth roots, and nth root. The general form of a radical is:

$1$

Explanation: Here, "\$\sqrt\$" is the radical symbol and a is the radicand (the number under the radical sign).
n is the index, indicating which root is being taken (if no index is specified, it is assumed to be 2,
representing a square root).

Definition: Subtracting Radicals:

Adding and subtracting radicals are fundamental concepts in mathematics. A radical expression contains a square root.
Radicals can include a whole number and a radicand in multiplication (e.g., \$3\sqrt2, 21\sqrt2\$) or just a radicand (e.g., \$ \sqrt5, \sqrt3\$).
Addition or subtraction is only possible when the radicands are the same.

$2$

Explanation: Here, the image has examples of adding and subtracting radicals.
(note: Adding Radicals: To add radicals, ensure they have the same radicand and index.
Subtracting Radicals: To subtract radicals, ensure they have the same radicand and index.)