The value of 33−375+5300 is

3 \sqrt{3} - 3 \sqrt{75} + 5 \sqrt{300}

$= 3 \sqrt{3} - 3 \sqrt{25 \times 3} + 5 \sqrt{3 \times 100}$

$= 3 \sqrt{3} - 3 \sqrt{5^{2} \times 3} + 5 \sqrt{3 \times 10^{2}}$

$= 3 \sqrt{3} - (3 \times 5) \sqrt{3} + (5 \times 10) \sqrt{3}$

$= 3 \sqrt{3} - 15 \sqrt{3} + 50 \sqrt{3}$

$= (3 - 15 + 50) \sqrt{3}$

$= 38 \sqrt{3}$

The value of $3 \sqrt{3} - 3 \sqrt{75} + 5 \sqrt{300}$ is