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Solution - Simplifying square roots
3*sqrt(41)
Other Ways to Solve:
Step by Step Solution
Simplify : sqrt(369)
Factor 369 into its prime factors
369 = 32 • 41
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
9 = 32
Factors which will remain inside the root are :
41 = 41
To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
3 = 3
The simplified SQRT looks like this:
3 • sqrt (41)
Simplified Root :
3 • sqrt(41)How did we do?
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