\(\sqrt{\dfrac{75}{2}}-\sqrt{\dfrac{3}{2}}\\=\dfrac{\sqrt{75}}{\sqrt{2}}-\dfrac{\sqrt{3}}{\sqrt{2}}\\ =\dfrac{5\sqrt3}{\sqrt2}-\dfrac{\sqrt3}{\sqrt2}\\=\dfrac{4\sqrt3}{\sqrt2}\\=\dfrac{2\cdot\sqrt2\cdot\sqrt2\cdot\sqrt3}{\sqrt2}\\ =2\sqrt2\cdot\sqrt3\\ =2\sqrt6\)
\(\text{Questions:}\\ \text{1. Why is sqrt 75 = 5 sqrt 3?}\\ \text{sqrt 75 = sqrt 25 x sqrt 3 = 5 sqrt 3}\\ \)
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