What is (2+sqrt(3))^2-(2-sqrt(3))^2 ?

The solution to (2+sqrt(3))^2-(2-sqrt(3))^2 is 8sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2+sqrt(3))^2-(2-sqrt(3))^2

simplify

(2 + 3)^{2} - (2 - 3)^{2}

83

Decimal Notation

13.85640 \dots

Solution steps

(2 + 3)^{2} - (2 - 3)^{2}

(2 + 3)^{2} = 7 + 43

(2 - 3)^{2} = 7 - 43

= 7 + 43 - (7 - 43)

Expand

- (7 - 43) : - 7 + 43

= 7 + 43 - 7 + 43

Add similar elements:

43 + 43 = 83

= 7 + 83 - 7

Subtract the numbers:

7 - 7 = 0

= 83

121 = 64 x^{2}

4 y^{2} = 16 y + 3

6 - 2 x - x^{2} = x + 6

2 x^{2} - 4 < 0

x^{2} + 4 x = - 5

What is (2+sqrt(3))^2-(2-sqrt(3))^2 ?
The solution to (2+sqrt(3))^2-(2-sqrt(3))^2 is 8sqrt(3)