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Q: Find the smallest positive integer k such that 1176k is a perfect square?

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Yes, a perfect square is a number that has an integer square root.

Any integer is a perfect square oot (of its square). So 300 is a perfect square root of 90000.

The smallest 5-digit integer perfect square is 10,000 = (100)2The largest 5-digit integer perfect square is 99,856 = (316)2So we want to know how many numbers that is, from 100 to 316 inclusive.It's 316 minus the first 99 = 217 of them.

No. The square root of a positive integer can only be an integer, or an irrational number.

Since no integer multiplied by itself can yield 111, it is not a perfect square. 121, however, is a perfect square. Its square root is 11.

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The integer is 26

63= 9* 7. 9 is already a perfect square, so mulitiply by 7. 7 is your answer.

Only if the integer is a perfect square.

the answer is 144, it is divisible by 1, 4, 9, 16, 36, and 144.

its 81

Irrational. The square root of a positive integer is either an integer (that is, if the integer is a perfect square), or an irrational number.

Yes. The square root of a positive integer can only be an integer (if your integer is a perfect square), or an irrational number (if it isn't).

The answer is 19.

17

Yes it is.Since the square of an integer is called a perfect square, then the square root of a perfect square must be an integer.

There are two square roots of a perfect square: a positive number and the same number as a negative number. The square root of a perfect square will always be an integer.

In terms of prime factors, 1008 = 24*32*7 Then since 24 and 32 are perfect squares, all that is required is to make 7q a perfect square and so q = 7.

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