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Solution - Simplifying square roots

(105)
sqrt(105)

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Simplifying square roots

Step by Step Solution

Simplify :  sqrt(105) 

Factor 105 into its prime factors
           105 = 3 • 5 • 7 

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified

The simplified SQRT looks like this:
         sqrt (105)  

No simplification exists, Root remains :

       • sqrt(105) 

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