What is expand sqrt(((x+5)(2x+4-x^2))/(x+3)) ?

The solution to expand sqrt(((x+5)(2x+4-x^2))/(x+3)) is (sqrt((x+5)(-x^2+2x+4)))/(sqrt(x+3))

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expand sqrt(((x+5)(2x+4-x^2))/(x+3))

expand

\frac{( x + 5 ) ( 2 x + 4 - x ^{2} )}{x + 3}

\frac{( x + 5 ) ( - x ^{2} + 2 x + 4 )}{x + 3}

Solution steps

\frac{( x + 5 ) ( 2 x + 4 - x ^{2} )}{x + 3}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}

\frac{( x + 5 ) ( 2 x + 4 - x ^{2} )}{x + 3} = \frac{( x + 5 ) ( 2 x + 4 - x ^{2} )}{x + 3}

= \frac{( x + 5 ) ( - x ^{2} + 2 x + 4 )}{x + 3}

(23) 3

e^{- a t} sin (wt) u (t)

4 π 4^{2}

\frac{2}{3 - 2}

What is expand sqrt(((x+5)(2x+4-x^2))/(x+3)) ?
The solution to expand sqrt(((x+5)(2x+4-x^2))/(x+3)) is (sqrt((x+5)(-x^2+2x+4)))/(sqrt(x+3))