Approximation of Reciprocal Square Root

Rarely Tested

Approximation of Reciprocal Square Root

## Formula

For:

$$|x|\ll1$$

$$\frac1{\sqrt{1+x}}\approx1-\frac x2+\frac{3x^2}{8}$$

For first-order approximation:

$$\frac1{\sqrt{1+x}}\approx1-\frac x2$$

## Usage

- Used to approximate expressions containing reciprocal square roots.

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