Which of the following are irrational numbers?

Question

square root of 41
-64
square root of 78
square root of 1

Answer 1

To identify which of the numbers listed are irrational, let's analyze each one:

1. 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).

2. -64: This is a rational number. It can be expressed as \(-64/1\), where both the numerator and the denominator are integers.

3. Square root of 78: This is also an irrational number because 78 is not a perfect square.

4. 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