What is (sqrt(4x+28)-4)/(x+3) ?

The solution to (sqrt(4x+28)-4)/(x+3) is (2sqrt(x+7)-4)/(x+3)

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simplify (sqrt(4x+28)-4)/(x+3)

simplify

\frac{4 x + 28 - 4}{x + 3}

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

Solution steps

\frac{4 x + 28 - 4}{x + 3}

Factor out common term

4 : 4 (x + 7)

= \frac{4 ( x + 7 ) - 4}{x + 3}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

4 (x + 7) = 4 x + 7

= \frac{4 x + 7 - 4}{x + 3}

4 = 2

= \frac{2 x + 7 - 4}{x + 3}

(s + 2 j) (s - 2 j)

- 1 - \frac{1}{5}

- 4200 + 5242

\frac{2}{5} x - \frac{3}{10} x

(6 x - 4 y)^{4}

What is (sqrt(4x+28)-4)/(x+3) ?
The solution to (sqrt(4x+28)-4)/(x+3) is (2sqrt(x+7)-4)/(x+3)