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There are three steps on how to evaluate a radical. Some of the step-by-step instructions are multiply two radicals with the same index number by simply multiplying the numbers beneath the radicals, divide a radical by another radical with the same index number by simply dividing the numbers inside, and simplify large radicals using the product and quotient rules of radicals.
BIDMAS (UK) or PEMDAS (US). B or P : Brackets (Parentheses) I or E : Index (Exponent) DM or MD : Division and Multiplication. Equal priority, evaluate from left to right. AS : Addition and Subtraction. Equal priority, evaluate from left to right.
uses of index
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The word evaluate simply means 'find the value of...' For example, if asked to evaluate 23x4, the answer is 92.