What is (sqrt(3(1-\sqrt{2))})/3 ?

The solution to (sqrt(3(1-\sqrt{2))})/3 is (sqrt(-1+\sqrt{2)})/(sqrt(3))i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(3(1-\sqrt{2))})/3

simplify

\frac{3 ( 1 - 2 )}{3}

\frac{- 1 + 2}{3} i

Solution steps

\frac{3 ( 1 - 2 )}{3}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

3 (1 - 2) = 3 1 - 2

= \frac{3 1 - 2}{3}

Apply radical rule:

a = a a

3 = 33

= \frac{3 1 - 2}{3 3}

Cancel the common factor:

3

= \frac{1 - 2}{3}

Apply imaginary number rule:

- a = i a

= \frac{i - 1 + 2}{3}

Rewrite in standard complex form:

\frac{- 1 + 2}{3} i

= \frac{- 1 + 2}{3} i

\frac{7}{2} + \frac{3}{4} + \frac{7}{3}

- (x - 1)^{2} + 4

\frac{8}{3} \div 4

6 \cdot (- 5)

(4 z^{3}) (- 3 z^{3})

What is (sqrt(3(1-\sqrt{2))})/3 ?
The solution to (sqrt(3(1-\sqrt{2))})/3 is (sqrt(-1+\sqrt{2)})/(sqrt(3))i