Question Video: Identifying a Positive Integer under a Certain Condition Involving Exponents | Nagwa Question Video: Identifying a Positive Integer under a Certain Condition Involving Exponents | Nagwa

# Question Video: Identifying a Positive Integer under a Certain Condition Involving Exponents Mathematics

Write a positive integer whose square is between 120 and 130.

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### Video Transcript

Write a positive integer whose square is between 120 and 130.

An integer is a whole number. Therefore, the positive integers are one, two, three, and so on. Squaring a number involves multiplying a number by itself. The first 10 square numbers are one, four, nine, 16, and so on. This is because one squared is equal to one, two squared is four, and three squared is nine.

We need to find a square number between 120 and 130. 10 squared is equal to 100, which is too small. 11 squared is equal to 121, which does lie between 120 and 130. When we square the next positive integer, 12, we get 144, which is too big. The only square number between 120 and 130 is 121. Therefore, the correct answer is 11.

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