Simplify Radical Expression

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Radical expression is a mathematical expression which can consists of radicals, variables and numbers. The meaning for the word radical is root. Radicals are very much used in almost every topic of mathematics. There are different mathematical operations that can be used to simplify and solve questions related to radical’s expressions. Two radicals can be added or subtracted if they have the same number or expression in the root, this makes them similar radicals to carry mathematical operations.

 
Example 1: Simplify and find the answer for the given radical expression
2 √3 x + 5 √3 x – √3 x?

Solution: The given question is on adding and subtracting radicals.
This question contains the adding and subtracting the similar radical √3.
The first step of the question is solving for 2√3 x + 5√3 x = 7√3 x.
Now subtract √3 from the earlier answer 7√3 x = 6 √3
Therefore simplifying the radicals gives 2 √3 x + 5 √3 x – √3 x = 6 √3 x.
Hence solution = 6 √3 x.
 

Example 2: Simplify find the answer for the given question
√5 x + 4√5 x –2√5 x?

Solution: The given question is on adding and subtracting radicals.
This question contains the adding and subtracting the similar radical √5
The first step of the question is solving for √5 x + 4 √5 x = 5 √5 x
Now subtract 2√5 x from the earlier answer 5 √5 = 3 √5
Therefore simplifying the radicals gives √5 x + 4√5 x – 2√5 x = 3√5 x
Hence solution = 3√5 x.

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