Question

Which of the following is not irrational? a) (2 - Root(3))2 b) (Root(2) + Root(3))2 C) (Root(2) + Root(3))(Root(3)-Root(2)) d) 3xRoot(7)/7​

Answer 1

Step-by-step explanation:

the answer is in the attachment

Answer 2

Given :  Different expressions/numbers

To Find :  Which of the following is not irrational?

a) (2 - Root(3))2

b) (Root(2) + Root(3))2

C) (Root(2) + Root(3))(Root(3)-Root(2))

d) 3xRoot(7)/7​

Solution:

Rational numbers are the real numbers which can be written in the form p/q where q ≠ 0  and p ,q  are integers

All other real numbers are irrational numbers.

a)

(2 - √3)2

= 4  - 2√3

Irrational number

b) (√2  +√3 )2

= 2√2 + 2√3

Irrational number

c)

(√2 + √3)(√3 - √2)

= (√3 + √2)(√3 - √2)

= 3 - 2

= 1

Rational Number

d)   3 * √7/ 7

= 3/√7

Irrational number

Correct option is option c)  

(√2 + √3)(√3 - √2) is not irrational number

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