Answer :
The correct answer is equivalent expression is 5√x.
The expression √9x - √4x + 4√x can be simplified as follows:
√9x - √4x + 4√x
The square root of 9 is 3, and the square root of 4 is 2:3√x - 2√x + 4√x
Combining like terms:
(3 - 2 + 4)√x
5√x
Therefore, the equivalent expression is 5√x.Given expression: √9x - √4x + 4√x
First, we can simplify the square roots of 9 and 4:
√9 = 3 and √4 = 2
Now the expression becomes: 3√x - 2√x + 4√x
Next, we can combine like terms by adding the coefficients of √x:
(3 - 2 + 4)√x
Simplifying further, we have: 5√x
Therefore, the expression √9x - √4x + 4√x is equivalent to 5√x.
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