Question

[√7 - √5]² is a / an _____ number

options:- (A) irrational
(B) natural
(C) negative
(D) rational ​

Answer 1

• First, we will solve [√7 - √5]²

       $(\sqrt{7-5}) ^{2}$ = 7-5

                      = 2

     2 is a rational number.

• A rational number is a number thatcan be written in the form of p/q, where q≠0.

       Here, 2 can be written in the form of p/q that is 2/1.

       All the natural numbers are also included in rational numbers.

So the most appropriate option will be option d.

Answer 2

• First, we will solve $[\sqrt{7} - \sqrt{5} ]^{2}$

                                        $(\sqrt{7-5} )^{2} =7-5$

                                         $=2$

                   2 is a rational number.

• A rational number is a number that can be written in the form of p/q, where $q\neq 0.$

• Here, 2 can be written in the form of p/q that is 2/1.

• All the natural numbers are also included in rational numbers.
• So the most appropriate option will be option d.

So, $[\sqrt{7} - \sqrt{5} ]^{2}$  is a / an rational number.

Hence, we get the correct option that is an option (D) rational.