Question

if x= 5-√3/5+√3 and y= 5+√3/5_√3, show that xsquare - yspuare =_10√3/11.

Answer 1

Khushboo banakar teri saanson mein

Answer 2

Answer:

16 √3

Step-by-step explanation:

x = 5 - √3/5 + √3 and y = 5 + √3/5 - √3,

x² = (5 - √3/5 + √3)²

y² = (5 + √3/5 - √3)²

x² - y² =  (5 - √3/5 + √3)² -  (5 + √3/5 - √3)²

= (5 - √3/5 + √3 + 5 + √3/5 - √3) ( 5 - √3/5 + √3 - 5 - √3/5 + √3)

=  10 *  ( - 2 √3/5 + 2 √3)

= - 4√3 + 20 √3 = 16 √3