Math, asked by noelnoble2014, 8 months ago

Find out the least number which when
multiplied by 45, the result becomes a
perfect square.

Answers

Answered by Ghostrider734
2

Answer:

5

Step-by-step explanation:

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Answered by Anonymous
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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