Operations

Square Root of a Real Number

In the equation n[latex]^{2}[/latex] = N, the real number n whose square is equal to N.

Symbols

The square root of N is written as [latex]\sqrt[2]{N}[/latex] and is read as "the square root of N".

Examples

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

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