Question

53. Among the following the one which is not irrational.
a) 2+√3
b)√3+3
c)1+√3
d) 2+√1​

Answer 1

Answer:

Here, a and b are two co-prime numbers and b is not equal to zero. Simplify the equation (1) multiply by 2 both sides, we get. 1=ba2 .

Step-by-step explanation:

I think I will help you in this question.

Answer 2

Answer: d) 2 + √1

Explanation:

In this question,

Option a, b and c cannot be rational because √3 is not a perfect square, and hence, its square root in non-terminating and non-recurring. And according to the property, whenever a rational number and an irrational number are added, the sum is always an irrational number.

However, in option d, √1 is a perfect square, since 1 can be expressed as 1 x 1.

Hence 2 + √1 = 2 + 1 = 3, which is a rational number.

I hope this helps. :)