Math, asked by adityaanand62507, 8 months ago

Find the smallest square number that can be completely divided by 9 , 15 and20.

Answers

Answered by manishamallick2003
14

30 is the smallest square number that can be completely divided by 9 , 15, and 20.

First find the LCM of 9 , 15, 20 which is 180.

Now if you see the prime factorization of 180 is 2×2×3×3×5.

So now to make 180 a perfect square we need to multiply it by 5 so that its prime factorization is 2×2×3×3×5×5 .

Now 180×5= 900.

Now the square root of 900 is 30

Therefore 30 is the answer...

Answered by aaravgupta2030
1

Step-by-step explanation:

here is your answer.

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