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 $1$.
Sign in
Please select an account to continue using cracku.in
↓ →
CAT Formulas
Binomial Theorem
Approximation of Square Root
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 $1$.
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation