What is 2/(sqrt(3)-\sqrt{5)} ?

The solution to 2/(sqrt(3)-\sqrt{5)} is -sqrt(3)-sqrt(5)

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simplify 2/(sqrt(3)-\sqrt{5)}

simplify

\frac{2}{3 - 5}

- 3 - 5

Decimal Notation

- 3.96811 \dots

Solution steps

\frac{2}{3 - 5}

Multiply by the conjugate

\frac{3 + 5}{3 + 5}

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

Expand

2 (3 + 5) : 23 + 25

Expand

(3 - 5) (3 + 5) : - 2

= \frac{2 3 + 2 5}{- 2}

Factor out common term

2

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

Cancel the common factor:

2

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

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (3 + 5)

- (3 + 5) = - 3 - 5

= - 3 - 5

lo g_{68} (132464)

(x - 9) (x + 1)

8^{l o g_{8} (7)}

8^{l o g_{8} (5)}

(x^{2} - 8)^{2}

What is 2/(sqrt(3)-\sqrt{5)} ?
The solution to 2/(sqrt(3)-\sqrt{5)} is -sqrt(3)-sqrt(5)