Hank said \sqrt(64) is irrational because it is a square root. Why is he incorrect?

Question

A. Hank is incorrect because not all square roots are irrational.

B. Hank is incorrect because 64 is irrational.

C. Hank is incorrect because the decimal expansion of \sqrt(64) is a repeating decimal.

D. Hank is incorrect because \sqrt(64) = 32.

Answer 1

Hank is incorrect for the following reason:

A. Hank is incorrect because not all square roots are irrational.

The square root of 64 is actually 8, which is a rational number. Hank's conclusion that all square roots are irrational is not correct, as many perfect squares (like 64) have rational square roots.