What is (22)/(6+sqrt(14)) ?

The solution to (22)/(6+sqrt(14)) is 6-sqrt(14)

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simplify (22)/(6+sqrt(14))

simplify

\frac{22}{6 + 14}

6 - 14

Decimal Notation

2.25834 \dots

Solution steps

\frac{22}{6 + 14}

Multiply by the conjugate

\frac{6 - 14}{6 - 14}

= \frac{22 ( 6 - 14 )}{( 6 + 14 ) ( 6 - 14 )}

Expand

22 (6 - 14) : 132 - 2214

Expand

(6 + 14) (6 - 14) : 22

= \frac{132 - 22 14}{22}

Factor out common term

22 : 22 (6 - 14)

= \frac{22 ( 6 - 14 )}{22}

Cancel the common factor:

22

= 6 - 14

\frac{3}{4} + 1.6

\frac{18 x - 6}{15 x ^{3} - 5 x ^{2}}

4 x^{4} + 36 x^{2} + 81

6 + 1

e^{1 + 2 l n (x)}