What is sqrt(8-4\sqrt{3)} ?

The solution to sqrt(8-4\sqrt{3)} is sqrt(6)-sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(8-4\sqrt{3)}

simplify

8 - 43

6 - 2

Decimal Notation

1.03527 \dots

Solution steps

8 - 43

= 6 - 43 + 2

= 2 \cdot 3 - 43 + 2

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

2232 = 43

= (23)^{2} - 2232 + (2)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(23)^{2} - 2232 + (2)^{2} = (23 - 2)^{2}

= (23 - 2)^{2}

Apply radical rule:

(23 - 2)^{2} = 23 - 2

= 23 - 2

23 = 6

= 6 - 2

(12 - 8 i) (4 - 2 i)

6 (\frac{1}{4})

(- 5 x^{3} y) (4 x^{8} y)

5 x^{4} y^{3} \cdot x^{2} y

(- i + 3)^{3}

What is sqrt(8-4\sqrt{3)} ?
The solution to sqrt(8-4\sqrt{3)} is sqrt(6)-sqrt(2)