What is simplify ((sqrt(14)-sqrt(13)))/((sqrt(14)+\sqrt{13))} ?

The solution to simplify ((sqrt(14)-sqrt(13)))/((sqrt(14)+\sqrt{13))} is 27-2sqrt(182)

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Simplify ( square root of 14- square root of 13)/( square root of 14+ square root of 13)

simplify

\frac{( 14 - 13 )}{( 14 + 13 )}

27 - 2182

Decimal Notation

0.01852 \dots

Solution steps

\frac{14 - 13}{14 + 13}

Multiply by the conjugate

\frac{14 - 13}{14 - 13}

= \frac{( 14 - 13 ) ( 14 - 13 )}{( 14 + 13 ) ( 14 - 13 )}

Expand

(14 - 13) (14 - 13) : 27 - 2182

Expand

(14 + 13) (14 - 13) : 1

= \frac{27 - 2 182}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 27 - 2182

x^{2} + 2 x - 5 = 0

5 x^{5} - 9 x^{3} + 2 x^{11} + 6

\frac{( 20 270 )}{( 4 3 )}

4 \cdot \frac{75}{49} - \frac{( 8 )}{( 18 )}

9 x^{3} + 3 x^{8} + 6 x^{7} + 5 x^{6} - 7 x^{5}

What is simplify ((sqrt(14)-sqrt(13)))/((sqrt(14)+\sqrt{13))} ?
The solution to simplify ((sqrt(14)-sqrt(13)))/((sqrt(14)+\sqrt{13))} is 27-2sqrt(182)