What is (sqrt(6)+sqrt(2))/(sqrt(6)-\sqrt{2)} ?

The solution to (sqrt(6)+sqrt(2))/(sqrt(6)-\sqrt{2)} is 2+sqrt(3)

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simplify (sqrt(6)+sqrt(2))/(sqrt(6)-\sqrt{2)}

simplify

\frac{6 + 2}{6 - 2}

2 + 3

Decimal Notation

3.73205 \dots

Solution steps

\frac{6 + 2}{6 - 2}

Multiply by the conjugate

\frac{6 + 2}{6 + 2}

= \frac{( 6 + 2 ) ( 6 + 2 )}{( 6 - 2 ) ( 6 + 2 )}

Expand

(6 + 2) (6 + 2) : 8 + 43

Expand

(6 - 2) (6 + 2) : 4

= \frac{8 + 4 3}{4}

Factor out common term

4 : 4 (2 + 3)

= \frac{4 ( 2 + 3 )}{4}

Cancel the common factor:

4

= 2 + 3

lo g_{8} (lo g_{14} (196)) - lo g_{7} (7)

(- 3 + 4 i) - (8 + 8 i)

\frac{7}{24} \div \frac{12}{14} \times \frac{3}{7}

\frac{\frac{x}{2} - \frac{1}{x + 1}}{\frac{x}{2} + \frac{2 x + 3}{x + 1}}

4 x y^{6} x y^{2}

What is (sqrt(6)+sqrt(2))/(sqrt(6)-\sqrt{2)} ?
The solution to (sqrt(6)+sqrt(2))/(sqrt(6)-\sqrt{2)} is 2+sqrt(3)