Yes
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The square root of 15 is an irrational number
irrational
The square root of 225 is 15, which is NOT an irrational number.
The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.
Yes