What is 1/(2-sqrt(6)) ?

The solution to 1/(2-sqrt(6)) is -(2+sqrt(6))/2

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simplify 1/(2-sqrt(6))

simplify

\frac{1}{2 - 6}

- \frac{2 + 6}{2}

Decimal Notation

- 2.22474 \dots

Solution steps

\frac{1}{2 - 6}

Multiply by the conjugate

\frac{2 + 6}{2 + 6}

= \frac{1 \cdot ( 2 + 6 )}{( 2 - 6 ) ( 2 + 6 )}

1 \cdot (2 + 6) = 2 + 6

(2 - 6) (2 + 6) = - 2

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

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

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

(2 x^{3} + 1)^{2}

\frac{1}{4} \times \frac{1}{2}

π (9)^{2}

\frac{25}{32} \div \frac{5}{8}

122.4