Question

For what values of x is the expression below defined?
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Answer 1

x > 0

Explanation:

Given :-

• √[3x²] ÷ √[4x ]

And we need to find the value of x for which the expression is defined . The expression is ,

`:\implies` √[3x²] ÷ √[4x]

As we can see that x is inside the squareroot. So for defining the expression the value of x should be Greater than 0 . As negative inside the squareroot will give rise to imaginary numbers.

Solution :-

`:\implies` x > 0

In interval notation :-

`:\implies\bf x \in ( 0 , \infty)`

Therefore x should be Greater than 0 .