What is 3/(sqrt(5-\sqrt{2))} ?

The solution to 3/(sqrt(5-\sqrt{2))} is (3(5+sqrt(2))sqrt(5-\sqrt{2)})/(23)

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simplify 3/(sqrt(5-\sqrt{2))}

simplify

\frac{3}{5 - 2}

\frac{3 ( 5 + 2 ) 5 - 2}{23}

Decimal Notation

1.58426 \dots

Solution steps

\frac{3}{5 - 2}

Multiply by the conjugate

\frac{5 - 2}{5 - 2}

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

5 - 2 5 - 2 = 5 - 2

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

Multiply by the conjugate

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

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

(5 - 2) (5 + 2) = 23

= \frac{3 ( 5 + 2 ) 5 - 2}{23}

(8 k + k^{2} - 6) - (- 10 k + 7 - 2 k^{2})

(x - 3) (x^{2} - 9 x)

\frac{121}{10}

\frac{- 27}{9}

- 3 (\frac{1}{3})

What is 3/(sqrt(5-\sqrt{2))} ?
The solution to 3/(sqrt(5-\sqrt{2))} is (3(5+sqrt(2))sqrt(5-\sqrt{2)})/(23)