What is 1/(4+sqrt(3)) ?

The solution to 1/(4+sqrt(3)) is (4-sqrt(3))/(13)

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simplify 1/(4+sqrt(3))

simplify

\frac{1}{4 + 3}

\frac{4 - 3}{13}

Decimal Notation

0.17445 \dots

Solution steps

\frac{1}{4 + 3}

Multiply by the conjugate

\frac{4 - 3}{4 - 3}

= \frac{1 \cdot ( 4 - 3 )}{( 4 + 3 ) ( 4 - 3 )}

1 \cdot (4 - 3) = 4 - 3

(4 + 3) (4 - 3) = 13

= \frac{4 - 3}{13}

772

+ 6 x^{2} - 42 x + 72

(2 k)^{3}

\frac{x ^{2} - x - 12}{x ^{2} + 7 x + 12}