Simplifying Radical Expressions

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The meaning for the word radical is root. Radical expressions is an expression which can contain constants, variables and radical included in them. Radicals can be simplified and solved. There are different mathematical operations that can be used to simplify and solve questions related to radicals. 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 question
7 √3x + 2 √3x – 3 √3x?

Solution: The given question is on adding and subtracting radicals.

This question contains the adding and subtracting the similar radical terms containing √3 with variable x.

The first step of the question is solving for 7 √3x + 2 √3x = 9 √3x

Now subtract 3 √3x from the earlier answer 9 √3x

This makes 9 √3x – 3 √3x = 6 √3x

Therefore simplifying the radicals gives 7 √3 x + 2 √3x – 3 √3x = 6 √3x

Hence solution = 6 √3x.
 
Example 2: Simplify find the answer for the given question
3√5x + 2√5x – √5x?

Solution: The given question is on adding and subtracting radicals.

This question contains the adding and subtracting the similar radical terms containing √5 with variable x.

The first step of the question is solving for 3√5x + 2√5x = 5√5x

Now subtract √5x from the earlier answer 5√5x

This makes 5√5x – √5x = 4√5x

Therefore simplifying the radicals gives 3√5x + 2√5x – √5x = 4√5 x.

Hence solution = 4√5x.
 
 

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