If 600y is a perfect square (the square of an integer) and y is a positive integer, then which of ...
If 600y is a perfect square (the square of an integer) and y is a positive integer, then which of the following must also be an integer?
I y/6
II y/42
III y/30
Answer/Solution
I only
Steps/Work
600∗y=2^3∗3^1∗5^2∗y
For an integer to be a perfect square means that all its prime factors must have even powers.
Min value of yy required fo that is 2^1∗3^1
Answer A
For an integer to be a perfect square means that all its prime factors must have even powers.
Min value of yy required fo that is 2^1∗3^1
Answer A