Simplifying square roots
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This solution deals with simplifying square roots.
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- Simplifying square roots
Step by Step Solution
Simplify : sqrt(1296)
Factor 1296 into its prime factors
1296 = 24 • 34
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 :
1296 = 24 • 34
No factors remain inside the root !!
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 :
36 = 22 • 32
The simplified SQRT looks like this:
36
Simplified Root :
36Why learn this
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