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Popular >

expand (1+sqrt(5))^3

Solution

expand

(1 + 5)^{3}

Solution

16 + 85

+1

Decimal Notation

33.88854 \dots

Solution steps

(1 + 5)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

1^{3} + 3 \cdot 1^{2} 5 + 3 \cdot 1 \cdot (5)^{2} + (5)^{3} = 16 + 85

= 16 + 85

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Frequently Asked Questions (FAQ)

What is expand (1+sqrt(5))^3 ?
The solution to expand (1+sqrt(5))^3 is 16+8sqrt(5)