What is (5sqrt(3)+2)/(sqrt(3)+1) ?

The solution to (5sqrt(3)+2)/(sqrt(3)+1) is (13-3sqrt(3))/2

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simplify (5sqrt(3)+2)/(sqrt(3)+1)

simplify

\frac{5 3 + 2}{3 + 1}

\frac{13 - 3 3}{2}

Decimal Notation

3.90192 \dots

Solution steps

\frac{5 3 + 2}{3 + 1}

Multiply by the conjugate

\frac{3 - 1}{3 - 1}

= \frac{( 5 3 + 2 ) ( 3 - 1 )}{( 3 + 1 ) ( 3 - 1 )}

Expand

(53 + 2) (3 - 1) : 13 - 33

Expand

(3 + 1) (3 - 1) : 2

= \frac{13 - 3 3}{2}

16 y^{16}

\frac{( n - 2 ) !}{n !}

\frac{( 2 a ^{- 1} b ^{2} ) ^{2}}{( a ^{3} b ) ^{3}}

48 \div 16

43 + 512

What is (5sqrt(3)+2)/(sqrt(3)+1) ?
The solution to (5sqrt(3)+2)/(sqrt(3)+1) is (13-3sqrt(3))/2