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

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

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

simplify

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

x + 3 + 1

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel the common factor:

x + 2

= x + 3 + 1

(x - 5)^{2} - 9

2 x^{2} - 3 x - 27

7.1403 \cdot 140.0250 7^{2}

y^{24} + y^{8}

50 p^{16} q^{8}

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