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 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.

1 answer

Hank is incorrect because not all square roots are rational.

In this case, the square root of 25 (which is 5) is rational, but the reasoning provided by Hank is flawed because it implies that all square roots are inherently rational. Not all square roots yield rational numbers, as can be seen with numbers that are not perfect squares (for example, √2 and √3 are irrational).

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