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

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

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

simplify

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

x + 3 + 2

Solution steps

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

Multiply by the conjugate

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

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

(x + 3 - 2) (x + 3 + 2) = x - 1

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

Cancel the common factor:

x - 1

= x + 3 + 2

(4 + i)^{3}

4 x + (x - (2 x - 3)) - (5 - 2 (1 - x))

\frac{3}{- 2 x}

(a - b + c - d)^{2}

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

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