Aptitude Topics
Prime Factor Method
This method involves breaking a number down into its prime factors. For square roots, group factors into pairs; for cube roots, group factors into triplets.
Example Breakdown:
Problem QueryFind $\sqrt{324}$ using prime factors.
Step-By-Step Solution Path
Prime factorization of 324: $2 \times 2 \times 3 \times 3 \times 3 \times 3$.
Group into pairs: $(2 \times 2) \times (3 \times 3) \times (3 \times 3) = 2^2 \times 3^2 \times 3^2$.
Take one from each pair: $2 \times 3 \times 3 = 18$.
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