What is (sqrt(a+1)-2)/(sqrt(a+1)+2) ?

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

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simplify (sqrt(a+1)-2)/(sqrt(a+1)+2)

simplify

\frac{a + 1 - 2}{a + 1 + 2}

\frac{( a + 1 - 2 ) ^{2}}{a - 3}

Solution steps

\frac{a + 1 - 2}{a + 1 + 2}

Multiply by the conjugate

\frac{a + 1 - 2}{a + 1 - 2}

= \frac{( a + 1 - 2 ) ( a + 1 - 2 )}{( a + 1 + 2 ) ( a + 1 - 2 )}

Simplify

(a + 1 - 2) (a + 1 - 2) : (a + 1 - 2)^{2}

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

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

\frac{4}{1 + 3 i}

(4 - r^{2})^{2}

3 a + 2 a

\frac{40 m ^{3} n ^{2} - 20 m ^{2} n ^{3}}{20 m ^{2} n ^{2}}

- 1^{12}

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