Question

Which is irrational?

Responses

3.14
3 point 1 4

49−−√
square root of 49

23
2 thirds

7√

Answer 1

Option D)
`\boxed{ √(7)}`

Explanation:

Irrational numbers are real numbers which cannot be expressed in simple fractional form.

Here,

1. 3.14 can be expressed in fraction i.e. 314/100 which can be further simplified. 3.14 is rational.
2. √49 = 7 which is rational number. Yes, 7 can be written as 7/1 (fractional form)
3. 2/3 is a fraction itself. So it is rational.
4. 7 is not a perfect square, so √7 is irrational.