How do you simplify $\sqrt{\frac{50}{3}} + \sqrt{\frac{3}{6}}$ $sqrt(50/3)+sqrt(3/6)$ ?

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How do you simplify $\sqrt{\frac{50}{3}} + \sqrt{\frac{3}{6}}$ $sqrt(50/3)+sqrt(3/6)$ ?

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Answer 1 · 2018-05-22T20:16:42

(Someone check this please.)

$\sqrt{\frac{3}{6}} = \sqrt{\frac{1}{2}} = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}$ $sqrt(3/6)=sqrt(1/2)=1/sqrt(2)=sqrt2/2$

$\sqrt{\frac{50}{3}} = \frac{5 \sqrt{2}}{\sqrt{3}} = \frac{5 \sqrt{6}}{3}$ $sqrt(50/3)=(5sqrt2)/sqrt3=(5sqrt6)/3$

$\frac{\sqrt{2}}{2} + \frac{5 \sqrt{6}}{3} = \frac{3 \sqrt{2}}{6} + \frac{10 \sqrt{6}}{6} = \frac{3 \sqrt{2} + 10 \sqrt{6}}{6}$ $sqrt2/2+(5sqrt6)/3=(3sqrt2)/6+(10sqrt6)/6=(3sqrt2+10sqrt6)/6$

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How do you simplify $\sqrt{\frac{50}{3}} + \sqrt{\frac{3}{6}}$ $sqrt(50/3)+sqrt(3/6)$ ?

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