What is 1/(sqrt(7)+2)+2/3 ?

The solution to 1/(sqrt(7)+2)+2/3 is (sqrt(7))/3

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simplify 1/(sqrt(7)+2)+2/3

simplify

\frac{1}{7 + 2} + \frac{2}{3}

\frac{7}{3}

Decimal Notation

0.88191 \dots

Solution steps

\frac{1}{7 + 2} + \frac{2}{3}

Least Common Multiplier of

7 + 2, 3 : 3 (2 + 7)

Adjust Fractions based on the LCM

= \frac{3}{3 ( 2 + 7 )} + \frac{2 ( 2 + 7 )}{3 ( 2 + 7 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{3 + 2 ( 2 + 7 )}{3 ( 2 + 7 )}

Simplify

3 + 2 (2 + 7) : 7 + 27

= \frac{7 + 2 7}{3 ( 2 + 7 )}

Cancel

\frac{7 + 2 7}{3 ( 2 + 7 )} : \frac{7}{3}

= \frac{7}{3}

n^{2} + 5 n + 4

12 \times 6

- 3 \cdot (- 3)

x^{2} + 2 x + 2 + \frac{x + 7}{x ^{2} - 2}

Γ (\frac{1}{3})