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

The solution to (sqrt(5)-3)/(2-sqrt(5)) is sqrt(5)+1

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

simplify

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

5 + 1

Decimal Notation

3.23606 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(5 - 3) (2 + 5) : - 5 - 1

Expand

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

= \frac{- 5 - 1}{- 1}

\frac{- 5 - 1}{- 1} = 5 + 1

= 5 + 1

\frac{3}{7} \times 14

- 4 \frac{1}{5}

6 x^{2} + 61 x + 10

121 y^{10}

\frac{3}{- 15}

What is (sqrt(5)-3)/(2-sqrt(5)) ?
The solution to (sqrt(5)-3)/(2-sqrt(5)) is sqrt(5)+1