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

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

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

simplify

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

125 + 27

Decimal Notation

53.83281 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

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

Expand

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

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

Apply the fraction rule:

\frac{a}{1} = a

= 125 + 27

c^{3} d^{2} (c^{- 2} d^{4})

x (3 x - 4)

(2^{- 2} - 4^{- 2})^{- 1}

\frac{9}{10} \cdot 9

11 \cdot (- 3)

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