Which of the following numbers is irrational?

Question

Select all that apply.
square root 36
square root 25
square root49
square root15
square root3

Answer 1

To determine which of the given numbers are irrational, we can evaluate each one:

1. Square root of 36 (√36): This equals 6, which is a rational number.
2. Square root of 25 (√25): This equals 5, which is a rational number.
3. Square root of 49 (√49): This equals 7, which is a rational number.
4. Square root of 15 (√15): This is not a perfect square and cannot be expressed as a fraction, so it is an irrational number.
5. Square root of 3 (√3): This is also not a perfect square and cannot be expressed as a fraction, so it is an irrational number.

Based on this evaluation, the irrational numbers are:

• Square root of 15 (√15)
• Square root of 3 (√3)