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}

Decimal Notation

0.14854 \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) = 22

= \frac{5 - 3}{22}

4 p^{2} - 8 pq + 4 q^{2}

7 y \cdot 3 y

\frac{a ^{2} - 3 a - 10}{a ^{2} + 5 a + 6}

\frac{1}{125}

g (1)