What is expand ((1+sqrt(5))^{20})/2 ?

The solution to expand ((1+sqrt(5))^{20})/2 is 3965452288+1773404160sqrt(5)

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expand ((1+sqrt(5))^{20})/2

expand

\frac{( 1 + 5 ) ^{20}}{2}

3965452288 + 17734041605

Decimal Notation

7930904541.340914

Solution steps

\frac{( 1 + 5 ) ^{20}}{2}

(1 + 5)^{20} = 7930904576 + 35468083205

= \frac{7930904576 + 3546808320 5}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{7930904576 + 3546808320 5}{2} = \frac{7930904576}{2} + \frac{3546808320 5}{2}

= \frac{7930904576}{2} + \frac{3546808320 5}{2}

Divide the numbers:

\frac{7930904576}{2} = 2147483647

= 3965452288 + \frac{3546808320 5}{2}

Divide the numbers:

\frac{3546808320}{2} = 1773404160

= 3965452288 + 17734041605

5 + 2 (2 - 6 (1) = 21)

6 \cdot (- 3) + 6 \cdot 3

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

3 x (y + 1) d x

\frac{d}{d x} ((l) (r (x) (c - l)))

What is expand ((1+sqrt(5))^{20})/2 ?
The solution to expand ((1+sqrt(5))^{20})/2 is 3965452288+1773404160sqrt(5)