What is (4-sqrt(13))/(3-sqrt(7)) ?

The solution to (4-sqrt(13))/(3-sqrt(7)) is (12+4sqrt(7)-3sqrt(13)-sqrt(91))/2

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simplify (4-sqrt(13))/(3-sqrt(7))

simplify

\frac{4 - 13}{3 - 7}

\frac{12 + 4 7 - 3 13 - 91}{2}

Decimal Notation

1.11347 \dots

Solution steps

\frac{4 - 13}{3 - 7}

Multiply by the conjugate

\frac{3 + 7}{3 + 7}

= \frac{( 4 - 13 ) ( 3 + 7 )}{( 3 - 7 ) ( 3 + 7 )}

Expand

(4 - 13) (3 + 7) : 12 + 47 - 313 - 91

Expand

(3 - 7) (3 + 7) : 2

= \frac{12 + 4 7 - 3 13 - 91}{2}

4 w^{2} + 12 w + 9 = 169

5^{2} \cdot 5^{4}

lo g_{3} (\frac{1}{2})

- \frac{m}{8} + 7 \geq 5

- 3 (x + 4) - 2 x = 2 (x + 1)

What is (4-sqrt(13))/(3-sqrt(7)) ?
The solution to (4-sqrt(13))/(3-sqrt(7)) is (12+4sqrt(7)-3sqrt(13)-sqrt(91))/2