To identify which of the numbers listed are irrational, let's analyze each one:
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Square root of 41: This is an irrational number because 41 is not a perfect square (it cannot be expressed as the square of an integer).
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-64: This is a rational number. It can be expressed as \(-64/1\), where both the numerator and the denominator are integers.
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Square root of 78: This is also an irrational number because 78 is not a perfect square.
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Square root of 1: This is a rational number, as \(\sqrt{1} = 1\), which is an integer.
In summary, the irrational numbers from the list are:
- Square root of 41
- Square root of 78