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

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

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

simplify

\frac{3 5}{2 - 2}

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

Decimal Notation

11.45162 \dots

Solution steps

\frac{3 5}{2 - 2}

Multiply by the conjugate

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

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

Expand

3 (2 + 2) : 6 + 32

Expand

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

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

(r + 4 t)^{3}

(9 + 5 i) + (- 4 + 4 i)

- 18 a^{3} b + 27 a^{2} b

\frac{132}{3}

12 x - (4 + 2 x)

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