x = (√5 – √3)/(√5 + √3) y = 1/x ⇒ (√5 + √3)/(√5 – √3) (x + y) = [{(√5 – √3)/(√5 + √3)} + {(√5 + √3)/(√5 – √3)}] ⇒ (x + y) = [(√5 – √3)2 + (√5 + √3)2]/[(√5 – √3)(√5 + √3)] ⇒ (x + y) = [5 + 3 – 2 √15 + 5 + 3 + 2√15]/[(√5)2 – (√3)2] ⇒ (x + y) = 16/(5 – 3) = 16/2 = 8 (x + y)3 = x3 + y3 + 3 × x × y × (x + y) ⇒ x3 + y3 = (x + y)3 - 3 × x × (1/x) × (x + y) ⇒ 83 - 3 × 8 ⇒ 512 – 24 ⇒ 488 ∴ The value of (x3 + y3) is 488.
Which of the following countries border does not touch China?
Pir Panjal Range in the Himalayas is a part of:
The retreating Monsoon gives rainfall to:
Where is Lake Baikal located?
The "Grand Canyon," one of the largest gorges in the world, is formed by which river?
Consider the following statements about our country India:
I. India has an area of about 3.28 million sq. km.
II. India is located in ...
Which two countries share the world's longest land border?
Popocatepetl volcano, which was in news recently, is located in which country?
The hill range that separates the State of Manipur from the State of Nagaland is known as:
Which mountain range is known as the 'Roof of the World'.
