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

The solution to (sqrt(5)+sqrt(3))/(sqrt(3)-\sqrt{5)} is -4-sqrt(15)

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

simplify

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

- 4 - 15

Decimal Notation

- 7.87298 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(5 + 3) (3 + 5) : 8 + 215

Expand

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

= \frac{8 + 2 15}{- 2}

Factor out common term

2 : 2 (4 + 15)

= \frac{2 ( 4 + 15 )}{- 2}

Cancel the common factor:

2

= \frac{4 + 15}{- 1}

Apply the fraction rule:

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

= - (4 + 15)

- (4 + 15) = - 4 - 15

= - 4 - 15

(x + 1) (x - 2) (x + 3) \geq 0

2 q \geq 6

(x^{2} - 16) \cdot (x - 6) \geq 0

\frac{t}{4} + 8 \geq - 10

\frac{1}{8} x^{2} + 4 x + 28 = 0

What is (sqrt(5)+sqrt(3))/(sqrt(3)-\sqrt{5)} ?
The solution to (sqrt(5)+sqrt(3))/(sqrt(3)-\sqrt{5)} is -4-sqrt(15)