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

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

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

factor

\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

4 a + 4 b + x b + x a

4 + 2 x y - (x^{2} + y^{2})

2 (x + 1)^{2} + 5 (x + 1) + 2

e^{2} + 6 e - 40

+ 6 \times 6

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