Hank said 25−−√

is rational because it is a square root. Why is he incorrect?(1 point)
Responses

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

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.

1 answer

Hank is incorrect because not all square roots are rational. Specifically, while the square root of a perfect square (like 25) is rational (since √25 = 5), the square root of a number that is not a perfect square (like 2 or 3) is not rational. Therefore, his statement about square roots being rational is not universally true.