Question

`(sqrt(6)+sqrt(10)-sqrt(21)-sqrt(35)xx(sqrt(6)-sqrt(10)+sqrt(21)-sqrt(35))`
A. 27
B. 18
C. 40
D. 10

Answer 1

Correct Answer - D
`(sqrt(6)+sqrt(10)-sqrt(21)-sqrt(35))`
`(sqrt(6)-sqrt(10)+sqrt(21)-sqrt(35))`
`=((sqrt(6)-sqrt(35))+(sqrt(10)-sqrt(21)))`
`=((sqrt(6)-sqrt(35))-(sqrt(10)-sqrt(21)))`
`=(sqrt(6)-sqrt(35))^(2)-(sqrt(10)-sqrt(21))^(2)`
`=6+35-2sqrt(210)-10-21+2sqrt(210)`
`=41-31=10`