What is 4/(sqrt(6)+\sqrt{2)} ?

The solution to 4/(sqrt(6)+\sqrt{2)} 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 4/(sqrt(6)+\sqrt{2)}

simplify

\frac{4}{6 + 2}

6 - 2

Decimal Notation

1.03527 \dots

Solution steps

\frac{4}{6 + 2}

Multiply by the conjugate

\frac{6 - 2}{6 - 2}

= \frac{4 ( 6 - 2 )}{( 6 + 2 ) ( 6 - 2 )}

Expand

4 (6 - 2) : 46 - 42

Expand

(6 + 2) (6 - 2) : 4

= \frac{4 6 - 4 2}{4}

Factor out common term

4

= \frac{4 ( 6 - 2 )}{4}

Cancel the common factor:

4

= 6 - 2

- 14 + 2 x + 3 = 4 x - 13 - 7 x

x^{3} - 5 x^{2} + 16 x - 80

13 x^{2} - 25 x - 2

e^{- l n ∣ x ∣}

x^{2} + 4 x > 12

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