What is h/(sqrt(x+h)-\sqrt{x)} ?

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

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Popular >

simplify h/(sqrt(x+h)-\sqrt{x)}

simplify

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

h + x + x

Solution steps

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

Multiply by the conjugate

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

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

(x + h - x) (x + h + x) = h

= \frac{h ( x + h + x )}{h}

Cancel the common factor:

h

= h + x + x

- 17 x = - 204

\frac{5 ^{3}}{4}

∣ 2 x - 1 ∣ \geq ∣ x + 1 ∣

48 m^{2} - 38 m - 18

516

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