Answer:
3025
Step-by-step 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.
[tex] \sqrt{55x} = \sqrt{5 \times 11 \times x} [/tex]
the smallest value of x to make 55x a perfect square is....
[tex]x = 11 \times 5 = 55[/tex]
Therefore the number is.... .
[tex]55x = 55(55) = 3025[/tex]
sweet right