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Ipatiy [6.2K]
3 years ago
11

Give a counterexample for the statement all square roots are irrational numbers explain your reasoning

Mathematics
2 answers:
mario62 [17]3 years ago
7 0
Statement: ALL square roots are irrational numbers.

Irrational is defined as a non-terminating real number.

✓4 = 2

2 is a terminating real number.

Therefore, 2 is rational.

The square root of 4 results in 2.

Therefore the square root of 4 results in a rational number.

Hence not all square roots result in irrational numbers.
user100 [1]3 years ago
3 0
Square root of 16 = 4....that is rational....so this is ur counter example.

The square root of a perfect square will produce a rational number. If u were to find the square root of a number that is not a perfect square, then that would produce an irrational number.
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