Question

examine whether the following numbers are rational or irrational a) 2+underroot 3
b) underroot 5+underroot 3
c) (3+underroot 4)sq​

Answer 1

Answer:

Correct option is

A

Irrational

Given, 2+

3

.

Here, 2 is a rational number and

3

is an irrational number as it is not a perfect square and cannot be expressed as a fraction.

We know, the sum of a rational and an irrational results in an irrational number, i.e. 2+

3

is also an irrational number.

Therefore, the given number is irrational.