4. Addition and Subtraction of Radicals

In algebra, we can combine terms that are similar eg.

2a + 3a = 5a

8x2 + 2x − 3x2 = 5x2 + 2x

Similarly for surds, we can combine those that are similar. They must have the same radicand (number under the radical) and the same index (the root that we are taking).

 

Example 1

(a) 2√7 − 5√7 + √7


Answer


(b) math expression


Answer


(c) math expression


Answer



Example 2

(a) math expression


Answer


(b) math expression


Answer


Example 3

Simplify:

math expression


Answer


Exercises

Q1 math expression


Answer


Q2 math expression


Answer


Q3 math expression


Answer





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