What is (9+sqrt(2))/(4-sqrt(7)) ?

The solution to (9+sqrt(2))/(4-sqrt(7)) is (36+9sqrt(7)+4sqrt(2)+sqrt(14))/9

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simplify (9+sqrt(2))/(4-sqrt(7))

simplify

\frac{9 + 2}{4 - 7}

\frac{36 + 9 7 + 4 2 + 14}{9}

Decimal Notation

7.69003 \dots

Solution steps

\frac{9 + 2}{4 - 7}

Multiply by the conjugate

\frac{4 + 7}{4 + 7}

= \frac{( 9 + 2 ) ( 4 + 7 )}{( 4 - 7 ) ( 4 + 7 )}

Expand

(9 + 2) (4 + 7) : 36 + 97 + 42 + 14

Expand

(4 - 7) (4 + 7) : 9

= \frac{36 + 9 7 + 4 2 + 14}{9}

- 1 < 7 - 5 x < 2

\frac{x + 1}{x - 1} + 2 > 0

2 e^{- 0}

j + 4 \leq 10

3 < \frac{1}{3} + n

What is (9+sqrt(2))/(4-sqrt(7)) ?
The solution to (9+sqrt(2))/(4-sqrt(7)) is (36+9sqrt(7)+4sqrt(2)+sqrt(14))/9