Hank is incorrect because not all square roots are rational. The square root of a number is only rational (i.e., can be expressed as a fraction of two integers) if that number is a perfect square. In this case, \(\sqrt{25} = 5\), which is rational, but Hank's statement implies that all square roots are rational, which is not true. For example, \(\sqrt{2}\) is not rational even though it is a square root.
Hank said 25−−√
is rational because it is a square root. Why is he incorrect?(1 point)
Responses
Hank is incorrect because not all square roots are rational.
Hank is incorrect because not all square roots are rational.
Hank 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 25 is irrational.
Hank is incorrect because 25 is irrational.
Hank is incorrect because 25−−√=5.5
.
1 answer
1 answer