Question

which of the following is an irrational number
1. √16
2.√(12/3)
3. √12
4.√100​​

Answer 1

Answer:

√12

Step-by-step explanation:

option (3)

WHY OTHERS OPTIONS ARE INCORRECT?

1.) √16 = 4

  ∵ 4 is a rational no.

2.) √(12/3) = √(2 ×2 × 3)/3 = √4 = 2

  ∵ 2 is a rational no.

4.) √100 = 10

  ∵ 10 is a rational no.

Answer 2

Answer:

Step-by-step explanation:

Rational number is a number which can be expressed in the form of p/q where p and q are integers and w=q is not equal to 0

Irrational numbers are those numbers which cannot be expressed in the form of p/q.

$\sqrt{16}$ = 4 which is a rational number

$\sqrt{12/3}$ = $\sqrt{4}$ =2 which is a rational number

$\sqrt{12}$ = $2\sqrt{3}$ which is not a rational number, that means it is an irrational number

$\sqrt{100}$m = 10 which is a rational number

So, the required answer is $\sqrt{12}$ which is a irrational number.

Hope you get it.

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