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

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

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simplify 2/(3+sqrt(7))

simplify

\frac{2}{3 + 7}

3 - 7

Solution steps

\frac{2}{3 + 7}

Multiply by the conjugate

\frac{3 - 7}{3 - 7}

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

Expand

2 (3 - 7) : 6 - 27

Expand

(3 + 7) (3 - 7) : 2

= \frac{6 - 2 7}{2}

Factor out common term

2 : 2 (3 - 7)

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

Cancel the common factor:

2

= 3 - 7

2 π (\frac{3}{7} 2 7^{\frac{7}{3}})

27 x^{3} + 27 x^{2} + 9 x + 1

\frac{x}{- 3.5} + 33 = 30

3 x^{2} + 13 x + 10

3 + 1.2 c > 13.5