Verified answer

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

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

[tex] = \sqrt{2} (2 + 1) + \sqrt{3} (5 - 3)[/tex]

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

Further, it can also be written as:

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

2√2+5√3+√2-3√3

2√2 + √2 + 5√3 - 3√3

3√2 + 2√3