Question

X=root3+root2÷root3-root2 and y=root3-root2÷root3+root2 then find the value of Xsquare+Ysquare

Answer 1

Answer:

b. 98

Step-by-step explanation:

x = ( √3 + √2 ) / ( √3 - √2 )

= ( √3 + √2 )² / ( √3 - √2 )( √3 + √2 )

= ( 3 + 2 + 2√6 ) / ( 3 - 2 )

= 5 + 2√6

y = ( √3 - √2 ) / ( √3 + √2 )

= ( √3 - √2 )² / ( √3 + √2 )( √3 - √2 )

= ( 3 + 2 - 2√6 ) / ( 3 - 2 )

= 5 - 2√6

x² + y² = ( 5 + 2√6 )² + ( 5 - 2√6 )²

= 25 + 4(6) + 2(5)(2√6) + 25 + 4(6) - 2(5)(2√6)

= 25 + 24 + 25 + 24

= 98