What is (6-3sqrt(5))/(2+sqrt(5)) ?

The solution to (6-3sqrt(5))/(2+sqrt(5)) is -27+12sqrt(5)

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simplify (6-3sqrt(5))/(2+sqrt(5))

simplify

\frac{6 - 3 5}{2 + 5}

- 27 + 125

Solution steps

\frac{6 - 3 5}{2 + 5}

Multiply by the conjugate

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

= \frac{( 6 - 3 5 ) ( 2 - 5 )}{( 2 + 5 ) ( 2 - 5 )}

Expand

(6 - 35) (2 - 5) : 27 - 125

Expand

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

= \frac{27 - 12 5}{- 1}

\frac{27 - 12 5}{- 1} = - 27 + 125

= - 27 + 125

\frac{s ^{2} t ^{- 4}}{5 s ^{- 1} t}

∣ 5 x - 2 ∣ + 4 = 72

36 c^{2} - d^{2}

12 a = - 192

\frac{7}{3} + 1

What is (6-3sqrt(5))/(2+sqrt(5)) ?
The solution to (6-3sqrt(5))/(2+sqrt(5)) is -27+12sqrt(5)