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

The solution to (sqrt(6)+sqrt(5))/(sqrt(6)-\sqrt{5)} is 11+2sqrt(30)

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

simplify

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

11 + 230

Decimal Notation

21.95445 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(6 + 5) (6 + 5) : 11 + 230

Expand

(6 - 5) (6 + 5) : 1

= \frac{11 + 2 30}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 11 + 230

2 (x + 1) (x - 3)

x^{2} + 10 x - 39

x^{4} y^{6}

3 x^{3} - 3 x^{2}

What is (sqrt(6)+sqrt(5))/(sqrt(6)-\sqrt{5)} ?
The solution to (sqrt(6)+sqrt(5))/(sqrt(6)-\sqrt{5)} is 11+2sqrt(30)