What is (sqrt(5))/(sqrt(6)+2)-2/(5sqrt(3)) ?

The solution to (sqrt(5))/(sqrt(6)+2)-2/(5sqrt(3)) is (15sqrt(10)-10sqrt(15)-4)/(10sqrt(3))

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simplify (sqrt(5))/(sqrt(6)+2)-2/(5sqrt(3))

simplify

\frac{5}{6 + 2} - \frac{2}{5 3}

\frac{15 10 - 10 15 - 4}{10 3}

Decimal Notation

0.27160 \dots

Solution steps

\frac{5}{6 + 2} - \frac{2}{5 3}

Cancel

\frac{5}{6 + 2} : \frac{30 - 2 5}{2}

= \frac{30 - 2 5}{2} - \frac{2}{5 3}

\frac{30 - 2 5}{2} - \frac{2}{5 3} = \frac{( 30 - 2 5 ) \cdot 5 3 - 4}{10 3}

= \frac{( 30 - 2 5 ) \cdot 5 3 - 4}{10 3}

Simplify

(30 - 25) \cdot 53 - 4 : 1510 - 1015 - 4

= \frac{15 10 - 10 15 - 4}{10 3}

12 lo g_{12} (144)

- \frac{1}{2} (4 x + 20) < - 7 (x + \frac{15}{7})

2 x + 8 \geq 8 (x - 5) > 7 (x + 3) - x

- 100

\frac{x}{4} = \frac{1}{2}

What is (sqrt(5))/(sqrt(6)+2)-2/(5sqrt(3)) ?
The solution to (sqrt(5))/(sqrt(6)+2)-2/(5sqrt(3)) is (15sqrt(10)-10sqrt(15)-4)/(10sqrt(3))