True or False
True or false:
If a × b = c , ⇒ a , b are perfect squares.
a, b and c could take up any integral value.
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2 solutions
a and b are supposed to be perfect squares
Well, aren't they supposed to be 2 different values?
This example can also be taken
4 × 1 6 = 4 × 1 6 = 6 4 = 8
Edit: Sorry, realized my mistake. I guess this suits it.
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It is not necessary that a = b There may exist a case that a = b
a b is a perfect square, a and b are not always perfect squares.
The question says a,b are perfect squares therefore 2 and 8 can not be a or b correct?
Counter example :
2 × 2 = 2