What is (sqrt(2x))/(3-sqrt(2x)) ?

The solution to (sqrt(2x))/(3-sqrt(2x)) is (sqrt(2)sqrt(x)(3+sqrt(2)sqrt(x)))/(9-2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(2x))/(3-sqrt(2x))

simplify

\frac{2 x}{3 - 2 x}

\frac{2 x ( 3 + 2 x )}{9 - 2 x}

Solution steps

\frac{2 x}{3 - 2 x}

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

2 x = 2 x

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

Rationalize

\frac{2 x}{3 - 2 x} : \frac{2 x ( 2 x + 3 )}{- 2 x + 9}

= \frac{2 x ( 2 x + 3 )}{9 - 2 x}

6 (- 3)

- 2 \times (- 5)

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

4 h - 8 h

\frac{4}{3} + \frac{6}{4}

What is (sqrt(2x))/(3-sqrt(2x)) ?
The solution to (sqrt(2x))/(3-sqrt(2x)) is (sqrt(2)sqrt(x)(3+sqrt(2)sqrt(x)))/(9-2x)