# Square Root of a Real Number

## Square Root of a Real Number

In the equation n$$^{2}$$ = N, the real number n whose square is equal to N.

### Symbols

The square root of N is written as $$\sqrt[2]{N}$$ and is read as “the square root of N“.

### Examples

• If x$$^{2}$$ = 100, then $$\sqrt[2]{100}$$ = 10, since 10 × 10 = 100.
• If x$$^{2}$$ = 0,25, then $$\sqrt[2]{0,25}$$ = 0.5, since (0.5) × (0.5) = 0.25.
• If x$$^{2}$$ = $$\frac{1}{4}$$, then $$\sqrt[2]\frac{1}{4}$$ = $$\frac{1}{2}$$, since $$\frac{1}{2}$$ × $$\frac{1}{2}$$ =$$\frac{1}{4}$$