What is ((3x+1))/((sqrt(3x^2+2x))) ?

The solution to ((3x+1))/((sqrt(3x^2+2x))) is ((3x+1)sqrt(3x^2+2x))/(3x^2+2x)

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simplify ((3x+1))/((sqrt(3x^2+2x)))

simplify

\frac{( 3 x + 1 )}{( 3 x ^{2} + 2 x )}

\frac{( 3 x + 1 ) 3 x ^{2} + 2 x}{3 x ^{2} + 2 x}

Solution steps

\frac{3 x + 1}{3 x ^{2} + 2 x}

Multiply by the conjugate

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

= \frac{( 3 x + 1 ) 3 x ^{2} + 2 x}{3 x ^{2} + 2 x 3 x ^{2} + 2 x}

3 x^{2} + 2 x 3 x^{2} + 2 x = 3 x^{2} + 2 x

= \frac{( 3 x + 1 ) 3 x ^{2} + 2 x}{3 x ^{2} + 2 x}

2 x^{2} + 84 x - 864

\frac{6}{a} - \frac{1}{b}

(x - 2 y + 3)^{3}

(w + 7) (2 w - 2 u - 3)

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

What is ((3x+1))/((sqrt(3x^2+2x))) ?
The solution to ((3x+1))/((sqrt(3x^2+2x))) is ((3x+1)sqrt(3x^2+2x))/(3x^2+2x)