What is (2-sqrt(3))/(-2-sqrt(5)) ?

The solution to (2-sqrt(3))/(-2-sqrt(5)) is 4-2sqrt(5)-2sqrt(3)+sqrt(15)

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simplify (2-sqrt(3))/(-2-sqrt(5))

simplify

\frac{2 - 3}{- 2 - 5}

4 - 25 - 23 + 15

Decimal Notation

- 0.06325 \dots

Solution steps

\frac{2 - 3}{- 2 - 5}

Multiply by the conjugate

\frac{- 2 + 5}{- 2 + 5}

= \frac{( 2 - 3 ) ( - 2 + 5 )}{( - 2 - 5 ) ( - 2 + 5 )}

Expand

(2 - 3) (- 2 + 5) : - 4 + 25 + 23 - 15

Expand

(- 2 - 5) (- 2 + 5) : - 1

= \frac{- 4 + 2 5 + 2 3 - 15}{- 1}

\frac{- 4 + 2 5 + 2 3 - 15}{- 1} = 4 - 25 - 23 + 15

= 4 - 25 - 23 + 15

0.4 \cdot 0.9 = x \cdot 1.1

x^{4} + x^{2} - 12

2 0^{3}

\frac{x}{- 2} + 10 > \frac{4 x}{- 7}

14.32 > \frac{m}{9} 15.69

What is (2-sqrt(3))/(-2-sqrt(5)) ?
The solution to (2-sqrt(3))/(-2-sqrt(5)) is 4-2sqrt(5)-2sqrt(3)+sqrt(15)