[tex]\frac{2\sqrt{3}+3 }{\sqrt{3} } - \frac{3\sqrt{3} }{3} - 3 - 5[/tex]

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вопрос

To simplify the expression:

Divide the first fraction by multiplying the denominator with the entire sum inside the fraction:

[tex]\frac{(2\sqrt{3}+3)\times\sqrt{3}}{\sqrt{3}\times\sqrt{3}}[/tex]
[tex]= \frac{2\sqrt{3}\times\sqrt{3}+3\times\sqrt{3}}{3}[/tex]
[tex]= \frac{6+3\sqrt{3}}{3}[/tex]
[tex]= 2 + \sqrt{3}[/tex]

Simplify the remaining fractions:

[tex]\frac{3\sqrt{3} }{3}[/tex]
[tex]= \sqrt{3}[/tex]

Simplify the entire expression:

[tex]2 + \sqrt{3} - \sqrt{3} - 3 - 5[/tex]
[tex]= 2 + 5 - 3 - 5[/tex]
[tex]= 2[/tex]

Therefore, the simplified form of the expression is 2.