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The smallest square number which can be divisible by 11 and 5​

1 Answer

5 votes

Answer:

3025

Explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.


√(55x) = √(5 * 11 * x)

the smallest value of x to make 55x a perfect square is....


x = 11 * 5 = 55

Therefore the number is.... .


55x = 55(55) = 3025

sweet right

BRAINLIEST PLS....

User Danielchalef
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