What is 1/(5-sqrt(3)) ?

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

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simplify 1/(5-sqrt(3))

simplify

\frac{1}{5 - 3}

\frac{5 + 3}{22}

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) = 22

= \frac{5 + 3}{22}

\frac{x ^{2} - y ^{2}}{x ^{3} - y ^{3}}

x + 5 \geq 8

\frac{2 π}{3} - 2 π

\frac{x ^{8} x ^{- 4}}{y ^{5} y ^{6}}

8 x^{2} + 26 x + 15 = 0