Question

Simplify 5 x times the square root of quantity 3 x end quantity minus 2 x times the square root of quantity 3 x end quantity minus x times the square root of quantity 3 x end quantity period.

1. quangkhai
Simplifying the expression gives 6x√3x

### How to simplify the expression

Adding and subtracting surds is applicable where the numbers underneath the root symbols also known as radicands are the same.
From the information given, we have:
5x √3x + 2x√3x  – x√3x
We can see than the numbers within the root symbols ‘3x’ are the same for all the three surds.
Note that if the root cases are the same, the numbers cannot be added or substracted.
Now, let’s add the values outside the roots
5x √3x + 2x√3x  – x√3x
= 5x + 2x – x
= 7x – x
= 6x
We have;
6x√3x
Thus, simplifying the expression gives 6x√3x
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