False
Here is a counterexample:
Let x = 3. Then
[tex]\sqrt{3x} = \sqrt{3\cdot 3} = \sqrt{9} = 3[/tex]
but [tex]x\sqrt{3} = 3 \cdot \sqrt{3} \ne 3[/tex]
So these expressions are not equivalent
The statement is false the expression √3x is equivalent to the expression x√3.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
let us check by an example put the value of x = 3
[tex]\sqrt{3x} \ \ \ =\ \ \ x \sqrt3[/tex]
[tex]\sqrt{3\times 3}\ \ \ \ = \ \ \ \ 3 \sqrt3[/tex]
[tex]\sqrt9 \ \ \ \ \neq \ \ \ \ \ 3\sqrt3[/tex]
Here we can see that the two values are not equal.
Therefore the statement is false the expression √3x is equivalent to the expression x√3.
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