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Popular >

simplify ((1+sqrt(5))/2)^3

Solution

simplify

(\frac{1 + 5}{2})^{3}

Solution

2 + 5

+1

Decimal

4.23606 \dots

Solution steps

(\frac{1 + 5}{2})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 1 + 5 ) ^{3}}{2 ^{3}}

2^{3} = 8

= \frac{( 1 + 5 ) ^{3}}{8}

(1 + 5)^{3} = 16 + 85

= \frac{16 + 8 5}{8}

Factor

16 + 85 : 8 (2 + 5)

= \frac{8 ( 2 + 5 )}{8}

Divide the numbers:

\frac{8}{8} = 1

= 2 + 5

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Frequently Asked Questions (FAQ)

What is ((1+sqrt(5))/2)^3 ?
The solution to ((1+sqrt(5))/2)^3 is 2+sqrt(5)