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Unit 2 Radicals - Coggle Diagram
Unit 2 Radicals
2.2 Operations of radicals
2.2.1 Like Radicals
Like radicals are radicals in simplest form which have the same radicands
Adding / Subtracting Radicals: First simplify radicals to like radicals, then combine like radicals
2.2.2 Multiplying and Dividing Radicals
根号ab等于根号a乘以根号b（a ≥ 0 b ≥ 0）
根号下b分之a等于根号b分之根号a（a ≥ 0, b > 0)
2.2.3 Rationalizing the denominator
Rationalizing the denominator of a radical expression is the process for obtain in denominators without radicals
The conjugate is where we change the sign in the middle of two terms, like the following
2.2.4 Mixed Operations of Radicals
2.1 Concept and Property of Radical expressions
2.1.1 Concept of radicals
A radical expression is defined as any expression containing a radical symbol
To make a radical expression with a defined, a ≥ 0
2.1.2 Properties of Radicals
根号a的二次方等于a
根号下a的平方等于a的绝对值
根号ab等于根号a乘以根号b（a ≥ 0 b ≥ 0）
根号下b分之a等于根号b分之根号a（a ≥ 0, b > 0)
simplest radical form and writing rules
no radicands have perfect square factors other than 1
no radicands contain fractions
no radicals appear in the denominator of a fraction
If the radicand contains only number without letters, consider it as the coefficient placed in front of the expression; if the radicand contains letters, it is generally placed at the end of the expression