Hank is incorrect because not all square roots are rational. While the square root of some numbers (like perfect squares) results in a rational number, the square root of non-perfect squares results in an irrational number. In the case of 25, however, it is a perfect square, and thus the square root of 25, which is 5, is indeed rational. However, the reason Hank is incorrect is still that not all square roots are rational, as implied in the options.
Hank said 25−−√ is rational because it is a square root. Why is he incorrect?(1 point)ResponsesHank is incorrect because the decimal expansion of 25−−√ is a repeating decimal.Hank is incorrect because the decimal expansion of square root of 25 is a repeating decimal.Hank is incorrect because not all square roots are rational.Hank is incorrect because not all square roots are rational.Hank is incorrect because 25 is irrational.Hank is incorrect because 25 is irrational.Hank is incorrect because 25−−√=5.5.
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