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

The solution to 1/(sqrt(x+h))-1/(sqrt(x)) is (sqrt(x)-sqrt(x+h))/(sqrt(x)\sqrt{x+h)}

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

simplify

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

\frac{x - x + h}{x x + h}

Solution steps

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

Least Common Multiplier of

x + h, x : x x + h

Adjust Fractions based on the LCM

= \frac{x}{x x + h} - \frac{x + h}{x x + h}

Apply the fraction rule:

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

= \frac{x - x + h}{x x + h}

x^{2} 10 x^{2} - 3 x - 4

\frac{4 ( x - 3 )}{5} = 3 (x + 2)

\frac{x ^{6}}{x ^{2}}

- 4 \leq x < 0

4 x^{2} - 25 x + 25 = 0

What is 1/(sqrt(x+h))-1/(sqrt(x)) ?
The solution to 1/(sqrt(x+h))-1/(sqrt(x)) is (sqrt(x)-sqrt(x+h))/(sqrt(x)\sqrt{x+h)}