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Popular >

expand (1+sqrt(2))^3

Solution

expand

(1 + 2)^{3}

Solution

7 + 52

+1

Decimal Notation

14.07106 \dots

Solution steps

(1 + 2)^{3}

Apply Perfect Cube Formula:

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

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

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

1^{3} + 3 \cdot 1^{2} 2 + 3 \cdot 1 \cdot (2)^{2} + (2)^{3} = 7 + 52

= 7 + 52

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Frequently Asked Questions (FAQ)

What is expand (1+sqrt(2))^3 ?
The solution to expand (1+sqrt(2))^3 is 7+5sqrt(2)