What is (5-sqrt(7))/(9-sqrt(14)) ?

The solution to (5-sqrt(7))/(9-sqrt(14)) is (45+5sqrt(14)-9sqrt(7)-7sqrt(2))/(67)

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simplify (5-sqrt(7))/(9-sqrt(14))

simplify

\frac{5 - 7}{9 - 14}

\frac{45 + 5 14 - 9 7 - 7 2}{67}

Decimal Notation

0.44771 \dots

Solution steps

\frac{5 - 7}{9 - 14}

Multiply by the conjugate

\frac{9 + 14}{9 + 14}

= \frac{( 5 - 7 ) ( 9 + 14 )}{( 9 - 14 ) ( 9 + 14 )}

Expand

(5 - 7) (9 + 14) : 45 + 514 - 97 - 72

Expand

(9 - 14) (9 + 14) : 67

= \frac{45 + 5 14 - 9 7 - 7 2}{67}

(\frac{25}{64})^{\frac{3}{2}}

6 x + 1 < - \frac{5 x}{3} + 5

\frac{1}{6} < \frac{2 x - 13}{12} \leq \frac{2}{3}

12 (x)^{2} + 12 x = 826

8 x - 6 > 12 + 2 x

What is (5-sqrt(7))/(9-sqrt(14)) ?
The solution to (5-sqrt(7))/(9-sqrt(14)) is (45+5sqrt(14)-9sqrt(7)-7sqrt(2))/(67)