Answer:
3-√3
Step-by-step explanation:
We are given the expression:-
[tex] \displaystyle \large{ \sqrt{3} ( \sqrt{3} - 1)}[/tex]
Recall Distributive Property:-
[tex] \displaystyle \large{a(b + c) = ab + ac}[/tex]
Therefore:-
[tex] \displaystyle \large{ \sqrt{3} ( \sqrt{3} - 1) = ( \sqrt{3} )( \sqrt{3}) + \sqrt{3} ( - 1) } \\ \displaystyle \large{ \sqrt{3} ( \sqrt{3} - 1) = 3 - \sqrt{3} } [/tex]
Thus, 3-√3 is the answer.
Make sure to recall an important fundamental math such as multiply negative with negative, multiply surd with surd, etc.
