What is (sqrt(3)+sqrt(5))/(sqrt(7)-1) ?

The solution to (sqrt(3)+sqrt(5))/(sqrt(7)-1) is (sqrt(21)+sqrt(3)+sqrt(35)+sqrt(5))/6

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simplify (sqrt(3)+sqrt(5))/(sqrt(7)-1)

simplify

\frac{3 + 5}{7 - 1}

\frac{21 + 3 + 35 + 5}{6}

Decimal Notation

2.41112 \dots

Solution steps

\frac{3 + 5}{7 - 1}

Multiply by the conjugate

\frac{7 + 1}{7 + 1}

= \frac{( 3 + 5 ) ( 7 + 1 )}{( 7 - 1 ) ( 7 + 1 )}

Expand

(3 + 5) (7 + 1) : 21 + 3 + 35 + 5

Expand

(7 - 1) (7 + 1) : 6

= \frac{21 + 3 + 35 + 5}{6}

8 x^{- 1}

x^{3} - 2 x^{2} + 3 x

(y^{2} + 3 y + 7) (8 y^{2} + y + 1)

(x - 1) (x + 3) (x - 2)

ln (e^{5}) - ln (e^{2})

What is (sqrt(3)+sqrt(5))/(sqrt(7)-1) ?
The solution to (sqrt(3)+sqrt(5))/(sqrt(7)-1) is (sqrt(21)+sqrt(3)+sqrt(35)+sqrt(5))/6