What is 1/(16-sqrt(14)) ?

The solution to 1/(16-sqrt(14)) is (16+sqrt(14))/(242)

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simplify 1/(16-sqrt(14))

simplify

\frac{1}{16 - 14}

\frac{16 + 14}{242}

Decimal Notation

0.08157 \dots

Solution steps

\frac{1}{16 - 14}

Multiply by the conjugate

\frac{16 + 14}{16 + 14}

= \frac{1 \cdot ( 16 + 14 )}{( 16 - 14 ) ( 16 + 14 )}

1 \cdot (16 + 14) = 16 + 14

(16 - 14) (16 + 14) = 242

= \frac{16 + 14}{242}

\frac{- 2}{4 - ( - 2 ) ^{2}}

a^{2} - 20 a + 100

64 x^{3} y^{6} - 216 z^{9}

(2 + i) (2 + 2 i)

\frac{15}{2} - 2

What is 1/(16-sqrt(14)) ?
The solution to 1/(16-sqrt(14)) is (16+sqrt(14))/(242)