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

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

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

simplify

\frac{2}{6 - 2}

\frac{6 + 2}{2}

Decimal Notation

1.93185 \dots

Solution steps

\frac{2}{6 - 2}

Multiply by the conjugate

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

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

Expand

2 (6 + 2) : 26 + 22

Expand

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

= \frac{2 6 + 2 2}{4}

Factor out common term

2

= \frac{2 ( 6 + 2 )}{4}

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

= \frac{6 + 2}{2}

2 3 i

2^{2} 2^{3}

x (1 - x^{2})

(x + 1)^{2} + (x + 2)^{2}

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