What is 1/(sqrt(7-\sqrt{3))} ?

The solution to 1/(sqrt(7-\sqrt{3))} is ((7+sqrt(3))sqrt(7-\sqrt{3)})/(46)

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simplify 1/(sqrt(7-\sqrt{3))}

simplify

\frac{1}{7 - 3}

\frac{( 7 + 3 ) 7 - 3}{46}

Decimal Notation

0.43569 \dots

Solution steps

\frac{1}{7 - 3}

Multiply by the conjugate

\frac{7 - 3}{7 - 3}

= \frac{1 \cdot 7 - 3}{7 - 3 7 - 3}

1 \cdot 7 - 3 = 7 - 3

7 - 3 7 - 3 = 7 - 3

= \frac{7 - 3}{7 - 3}

Multiply by the conjugate

\frac{7 + 3}{7 + 3}

= \frac{7 - 3 ( 7 + 3 )}{( 7 - 3 ) ( 7 + 3 )}

(7 - 3) (7 + 3) = 46

= \frac{( 7 + 3 ) 7 - 3}{46}

\frac{2 + 2 i}{2}

\frac{9}{2 x} - \frac{5}{8 x}

\frac{8}{18} \cdot \frac{7}{17}

\frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

x x x x

What is 1/(sqrt(7-\sqrt{3))} ?
The solution to 1/(sqrt(7-\sqrt{3))} is ((7+sqrt(3))sqrt(7-\sqrt{3)})/(46)