Question

classify the following 2√7/5√7 , 2-√7 into rational and irrational form step by step​

Answer 1

Answer:

(i) 2 - √5

We kno that √5 = 2.236..., which is an irrational number.

2 - √5 = 2 - 2.236..

= -0.236..., which is also an irrational number.

Therefore, we conclude that 2 - √5 is an irrational number.

(ii) (3 +√23) - √23

(3 +√23) - √23 = 3 +√23 - √23 = 3.

Therefore, we conclude that (3 +√23) - √23 is a rational number.

(iii)  2√7/7√7

We can cancel √7 n the numerator and denominator, as √7 is the the common number in numerator as well as denominator, to get.

2√7/7√7 = 2/7 Therefore, we conclude that 2√7/7√7 is rational number.