Question

Find the smallest no. By which 3645 must be divided so that it becomea prefect square

Answer 1

Answer:

by prime factorisation we get:

3645=3×3×3×3×3×3×5

so it is necessary that all factors must be in pair but here 5 is not in pair.....

so we need to decide 5 to make the number a perfect square.....

3645÷5

=729

729 is a perfect square number

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