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# How to take out from under the root sign

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The symbol of the root in mathematical sciences is the symbol for roots. The number under the root sign is called the root expression.

If there is no exponent, the root is square, otherwise the number indicates the exponent.

You will need

• - a pen-
• - paper-
• - tables of logarithmic roots.

Instructions

1

In order to take out from under the root sign,Imagine and write down the radicand as a product of such factors so that one can easily extract the arithmetic root from one. The arithmetic root of an arbitrary degree from a is a number b, when it is raised to this arbitrary power, it will result in the number a. At the time of this step, the sub-root expression, already consisting of factors, and not from one number, is still and is written under the root sign.

2

Use the following arithmetic propertyRoot: to extract the arithmetic root from the product, it is necessary to extract the root from each of its factors separately. By applying this property in this step, you will get instead of a product of factors under one root sign two different roots with two subordinate expressions.

3

Extract the root of the resulting sub-rootExpressions where possible. The extraction of the root is an algebraic action inverse to the exponentiation. Extracting a root of an arbitrary degree from a number means to find a number that, when raised to this arbitrary power, will result in a given number. If you can not extract the root, leave the root expression under the root sign as it is. As a result of the above actions, you will make a removal from under the root sign.

How to take out from under the root sign Was last modified: June 21st, 2017 By
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