Arithmetic Course/Number Operation/Root

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Root[edit]

Root is an arithmatic operation opposite to power . If there exists Then

Rules[edit]

Square root of zero is

Square root of one is one

Square root of negative one is an imaginary number j

Identities[edit]

  1. Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\sqrt {a}}{\sqrt {-a}}={\sqrt {-a^{2}}}=j{\sqrt {a^{2}}}}
  2. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle \sqrt{a} \sqrt{a} = a}
  3. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}}