What is (sqrt(5))/(2sqrt(5)-\sqrt{6)} ?

The solution to (sqrt(5))/(2sqrt(5)-\sqrt{6)} is (10+sqrt(30))/(14)

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simplify (sqrt(5))/(2sqrt(5)-\sqrt{6)}

simplify

\frac{5}{2 5 - 6}

\frac{10 + 30}{14}

Decimal Notation

1.10551 \dots

Solution steps

\frac{5}{2 5 - 6}

Multiply by the conjugate

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

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

Expand

5 (25 + 6) : 10 + 30

Expand

(25 - 6) (25 + 6) : 14

= \frac{10 + 30}{14}

x^{2} - 12 x + 85 = 0

15 x^{3} - 25 x^{2} + 75 x - 125

a x - 4 b x + 4 a y - 16 b y

(\frac{2}{3})^{- 0.75}

\frac{3}{5} x = 18

What is (sqrt(5))/(2sqrt(5)-\sqrt{6)} ?
The solution to (sqrt(5))/(2sqrt(5)-\sqrt{6)} is (10+sqrt(30))/(14)