What is 4/(4-sqrt(3)) ?

The solution to 4/(4-sqrt(3)) is (16+4sqrt(3))/(13)

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simplify 4/(4-sqrt(3))

simplify

\frac{4}{4 - 3}

\frac{16 + 4 3}{13}

Decimal Notation

1.76370 \dots

Solution steps

\frac{4}{4 - 3}

Multiply by the conjugate

\frac{4 + 3}{4 + 3}

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

Expand

4 (4 + 3) : 16 + 43

Expand

(4 - 3) (4 + 3) : 13

= \frac{16 + 4 3}{13}

\frac{72}{110}

a^{2} - 6 a b^{2} + 9 b^{4}

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

(2 k - 4) (2 k + 4)

\frac{- 48}{- 6}