What is (4-x)/(2-sqrt(x)) ?

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

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simplify (4-x)/(2-sqrt(x))

simplify

\frac{4 - x}{2 - x}

2 + x

Solution steps

\frac{4 - x}{2 - x}

Multiply by the conjugate

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

= \frac{( 4 - x ) ( 2 + x )}{( 2 - x ) ( 2 + x )}

(2 - x) (2 + x) = 4 - x

= \frac{( 4 - x ) ( 2 + x )}{4 - x}

Cancel the common factor:

4 - x

= 2 + x

(1 + \frac{0.14}{12})^{12} - 1

\frac{x ^{2} + 3 x + 2}{x ^{2} + 6 x + 8}

\frac{500}{60}

0.4 2^{2}