How many perfect squares can be formed by using all the digits 1,2 and 3, each of the digits given four times?
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Answer:
⬇⬇⬇⬇⬇⬇⬇⬇
⬇⬇⬇⬇⬇⬇⬇⬇
Step-by-step explanation:
we have 1111, 2222, 3333. Any number formed by using all these dights will have digital sum = 1 + 1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 = 2 + 4 = 6. We have already seen the digital sum of any perfect square cannot be equal to 6, hence, no perfect square can be made.
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