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How many perfect squares are two-digit and divisible by $3?$

User Prahack
by
6.6k points

2 Answers

3 votes
tbh i honestly don’t know
User Yash Sodha
by
7.1k points
2 votes

There are 2 perfect squares that are two-digit and divisible by 3.

To find the two-digit perfect squares that are divisible by 3, we can start by finding all the two-digit perfect squares and then check which ones are divisible by 3. The two-digit perfect squares are:

4: 16

5: 25

6: 36

7: 49

8: 64

9: 81

Now we can check which of these numbers are divisible by 3:

16: not divisible

25: not divisible

36: divisible

49: not divisible

64: not divisible

81: divisible

Thus, there are two two-digit perfect squares that are divisible by 3: 36 and 81.

So, the answer is 2.

User Pjhsea
by
6.5k points
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