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

The solution to (5+3sqrt(3))/(2-sqrt(2)) is (10+5sqrt(2)+6sqrt(3)+3sqrt(6))/2

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

simplify

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

\frac{10 + 5 2 + 6 3 + 3 6}{2}

Decimal

17.40592 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(5 + 33) (2 + 2) : 10 + 52 + 63 + 36

Expand

(2 - 2) (2 + 2) : 2

= \frac{10 + 5 2 + 6 3 + 3 6}{2}

e^{2 \times 0}

60 \times 4

6 a \cdot (3 a^{3})^{2}

\frac{2}{3} \times 6

\frac{6 - 7 i}{6 + i}

What is (5+3sqrt(3))/(2-sqrt(2)) ?
The solution to (5+3sqrt(3))/(2-sqrt(2)) is (10+5sqrt(2)+6sqrt(3)+3sqrt(6))/2