Approximation of Square Root

Rarely Tested

Approximation of Square Root

## Formula

For:

$$|x|\ll1$$

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

For first-order approximation:

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

## Usage

- Used for approximating square roots of numbers close to $1$.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.