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 25 is irrational.
Hank is incorrect because 25 is irrational.

Hank is incorrect because 25−−√=5.5
.
Hank is incorrect because square root of 25 is equal to 5 point 5.

Hank is incorrect because the decimal expansion of 25−−√
is a repeating decimal.

1 answer

Hank is incorrect because not all square roots are rational.

In this case, \(\sqrt{25}\) is actually equal to 5, which is a rational number. However, the statement is true because there are square roots of other numbers, such as \(\sqrt{2}\) or \(\sqrt{3}\), which are irrational. So while \(\sqrt{25}\) itself is rational, the generalization that "all square roots are rational" is incorrect.