What is 1/(sqrt(5-\sqrt{3))} ?

The solution to 1/(sqrt(5-\sqrt{3))} is ((5+sqrt(3))sqrt(5-\sqrt{3)})/(22)

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simplify 1/(sqrt(5-\sqrt{3))}

simplify

\frac{1}{5 - 3}

\frac{( 5 + 3 ) 5 - 3}{22}

Decimal Notation

0.55317 \dots

Solution steps

\frac{1}{5 - 3}

Multiply by the conjugate

\frac{5 - 3}{5 - 3}

= \frac{1 \cdot 5 - 3}{5 - 3 5 - 3}

1 \cdot 5 - 3 = 5 - 3

5 - 3 5 - 3 = 5 - 3

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

Multiply by the conjugate

\frac{5 + 3}{5 + 3}

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

(5 - 3) (5 + 3) = 22

= \frac{( 5 + 3 ) 5 - 3}{22}

6 w 80 w^{3} - 20 w^{5}

1. 3^{4}

(cos^{2} (x) - sin^{2} (x))^{2}

\frac{5}{3} \div \frac{9}{4}

- 25 + 2 - 50

What is 1/(sqrt(5-\sqrt{3))} ?
The solution to 1/(sqrt(5-\sqrt{3))} is ((5+sqrt(3))sqrt(5-\sqrt{3)})/(22)