Find out the least number which when
multiplied by 45, the result becomes a
perfect square.
Answers
Answered by
2
Answer:
5
Step-by-step explanation:
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Answered by
0
Answer:
5
Step-by-step explanation:
The prime factorization of 45 is
45 = 3² × 5
To get a square, we need the exponent on each prime factor to be even.
This is already the case for 3, but not for 5.
So the least such number is 5.
The resulting number is then
3² × 5² = (3×5)² = 15²
which is a perfect square.
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