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

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

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

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

Simplify

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

= \frac{2 x - 3}{x - 2}

(- 7 - i) - (- 9 + 5 i)

(3 + 7)^{2}

i^{148}

- (2 x - 1)

(1)^{2}