What is (4sqrt(x)-6)/(2sqrt(3x)) ?

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

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simplify (4sqrt(x)-6)/(2sqrt(3x))

simplify

\frac{4 x - 6}{2 3 x}

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

Solution steps

\frac{4 x - 6}{2 3 x}

Factor out common term

2 : 2 (2 x - 3)

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

Cancel the common factor:

2

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

(3 x^{2} + 2 x - 9) - (4 x^{2} - 6 x + 3)

\frac{0.02}{3}

\frac{\frac{1}{x - 1} + 1}{\frac{1}{x ^{2} - 1} + 1}

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

8 (54 - 69)

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