Square Roots of a Real Number
In the equation n[latex]^{2}[/latex] = N, each real-number n whose square is equal to N is a square root of the real number N.
Symbols
The square roots of the number N are written as – [latex]\sqrt{N}[/latex] and + [latex]\sqrt{N}[/latex] which are read as "the negative square root of N" and "the positive square root of N".Properties
- All positive real numbers N have two square roots, written as – [latex]\sqrt{N}[/latex] and + [latex]\sqrt{N}[/latex].
- If N is a positive real number, then n has two real values, with the same absolute value but with opposite signs.
- If N is a negative real number, then n has two imaginary values.