Hank said 25−−√

is irrational because it is a square root. Why is he incorrect?



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(1 point)
Responses

Hank is incorrect because square roots of perfect squares are rational.
Hank is incorrect because square roots of perfect squares 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−−√=5.5
.
Hank is incorrect because square root of 25 is equal to 5 point 5.

Hank is incorrect because a square root is always rational.

1 answer

Hank is incorrect because square roots of perfect squares are rational.

In this case, \( \sqrt{25} = 5 \), which is a rational number. The assertion that square roots are irrational is not true in general; it depends on whether the number is a perfect square or not. Since 25 is a perfect square, its square root is rational.