Question

Which number is an irrational number?
A.-22/9
B .-√3
C.2.56
D.√16

Answer 1

the answer is B. Your welcome :)...

Answer 2

Option B is irrational

Explanation:

Given 4 options, we have to choose the option which is an irrational number .

An irrational number is a number that can't be expressed as a fraction or in form of
`(p)/(q)` , where q≠0. They have decimal expansions that neither terminate nor become periodic i.e non-terminating non-repeating.

Option A:
`(-22)/(9)=-2.444...`

which is non-terminating but repeating

∴ can be expressed in form of
`(p)/(q)`.

Hence, rational

Option B:
`-\sqrt3=-1.7320508...`

The above is non-repeating and non-terminating.

⇒ irrational number

Option 3:
`2.56=(256)/(100)`

shows can be expressed as a fraction or in form of
`(p)/(q)`

hence, rational.

Option 4:
`\sqrt16=\pm4`

shows can be expressed as a fraction or in form of
`(p)/(q)`

hence, rational number

Option B is irrational.