What is (sqrt(3)+sqrt(2))/(sqrt(27)-\sqrt{8)} ?

The solution to (sqrt(3)+sqrt(2))/(sqrt(27)-\sqrt{8)} is (13+5sqrt(6))/(19)

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simplify (sqrt(3)+sqrt(2))/(sqrt(27)-\sqrt{8)}

simplify

\frac{3 + 2}{27 - 8}

\frac{13 + 5 6}{19}

Decimal Notation

1.32881 \dots

Solution steps

\frac{3 + 2}{27 - 8}

Multiply by the conjugate

\frac{27 + 8}{27 + 8}

= \frac{( 3 + 2 ) ( 27 + 8 )}{( 27 - 8 ) ( 27 + 8 )}

Expand

(3 + 2) (27 + 8) : 13 + 56

Expand

(27 - 8) (27 + 8) : 19

= \frac{13 + 5 6}{19}

- 8 = x^{2}

2 (u + 1) + 4 u = 3 (2 u - 1) + 8

x y + 2 y + 3 x + 6

5 \cdot (x + 1) + 4 \cdot (2 x - 3) = 6

lo g_{a} (1)

What is (sqrt(3)+sqrt(2))/(sqrt(27)-\sqrt{8)} ?
The solution to (sqrt(3)+sqrt(2))/(sqrt(27)-\sqrt{8)} is (13+5sqrt(6))/(19)