ACT Math · Number operations and exponents

Which best describes √(16)?

Which best describes 16\sqrt{16}?

Answer and explanation

Answer: H: An integer

Since 42=164^2=16, we have 16=4\sqrt{16}=4. The number 44 is a whole number, so it is an integer (and also a rational number, since 4=414=\frac{4}{1}). The best description is that it is an integer, choice H. Choice F (irrational only) assumes every square root is irrational, but only the square roots of non-perfect squares, like 2\sqrt2, are irrational. Choice G (rational but not an integer) is wrong because 44 is an integer. Choice J (undefined) is wrong because the square root of a positive number is always defined.

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