Video: Simplifying Numerical Expressions Using the Properties of Square Roots

Simplify −7 −√7 + 6 + 4√7.


Video Transcript

Simplify negative seven minus the square root of seven plus six plus four multiplied by the square root of seven.

In order to simplify this expression, we need to consider the rational terms, i.e., the whole numbers, and also the irrational terms or surds.

Grouping or simplifying the whole numbers or rational parts, negative seven plus six gives us negative one. In the same way, we can group the irrational terms negative root seven plus four root seven. This gives us three multiplied by root seven or three root seven.

Therefore, the simplification of the expression negative seven minus root seven plus six plus four root seven is equal to negative one plus three root seven.

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