en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1+sqrt(3))^3

Solution

simplify

(1 + 3)^{3}

Solution

10 + 63

+1

Decimal

20.39230 \dots

Solution steps

(1 + 3)^{3}

Apply Perfect Cube Formula:

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

a = 1, b = 3

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

Simplify

1^{3} + 3 \cdot 1^{2} 3 + 3 \cdot 1 \cdot (3)^{2} + (3)^{3} : 10 + 63

= 10 + 63

Popular Examples

simplify (x-11)(x-11)simplify

(x - 11) (x - 11)

factor 1-p^2-p^3q+pq factor

1 - p^{2} - p^{3} q + pq

simplify (ab^2c^3)^0 simplify

(a b^{2} c^{3})^{0}

expand (2x-4)(x+5)expand

(2 x - 4) (x + 5)

\frac{5}{8} \div 3

Frequently Asked Questions (FAQ)

What is (1+sqrt(3))^3 ?
The solution to (1+sqrt(3))^3 is 10+6sqrt(3)