What is 1/(1+sqrt(x)) ?

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

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simplify 1/(1+sqrt(x))

simplify

\frac{1}{1 + x}

\frac{1 - x}{1 - x}

Solution steps

\frac{1}{1 + x}

Multiply by the conjugate

\frac{1 - x}{1 - x}

= \frac{1 \cdot ( 1 - x )}{( 1 + x ) ( 1 - x )}

1 \cdot (1 - x) = 1 - x

(1 + x) (1 - x) = 1 - x

= \frac{1 - x}{1 - x}

(4 c - 3 d) (3 c + d)

sin (3) (x) + cos (2) (x) sin (x)

\frac{9 a ^{3} b ^{5}}{18 a ^{4} b}

\frac{2}{5} \cdot \frac{3}{8}

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