Question

Out of the fallowing irrationals, which has sum and product both rationales?
(a) √3 +5 and √3 - 5
(b) √3 + √5 and √3 - √5
(c) 5+√3 and 5 -√3
(d) all of these​

Answer 1

Answer:

(c) 5+√3 and 5 -√3

Step-by-step explanation:

(c) 5+√3 and 5 -√3

• Sum = 5+√3 + 5 -√3

= 5 + 5 + √3 - √3

= 10 , is a rational number.

• Product = (5 + √3)(5 - √3)

= 5² - (√3)²

= 25 - 3

= 22 , is a rational number.