SOLUTION: Hi. I am having difficulty with this. Can you show me how to work this problem please? Thanks. Multiply (√8+2√6)(√8-2√6)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Hi. I am having difficulty with this. Can you show me how to work this problem please? Thanks. Multiply (√8+2√6)(√8-2√6)      Log On


   

Question 630513: Hi. I am having difficulty with this. Can you show me how to work this problem please? Thanks.
Multiply
(√8+2√6)(√8-2√6)
Answer by darknez25(6) About Me  (Show Source):
You can put this solution on YOUR website!
(√8+2√6)(√8-2√6)
For solving the above..im goin to use the identity..
+%28a%2Bb%29%28a-b%29=%28a%5E2-b%5E2%29+ .........(1)
where
+a=+sqrt+%288%29+ AND +b=2sqrt%286%29+
now puttin the value of a and b in Eq(1) we get:-
+%28sqrt%288%29%2B2sqrt%286%29%29%28sqrt%288%29-2sqrt%286%29%29+ = +%28sqrt%288%29%29%5E2+-+%282sqrt%286%29%29%5E2%29+
solving RHS:-
+%28sqrt%288%29%29%5E2+-+%282sqrt%286%29%29%5E2%29+ = +%288+-+%282%5E2%29+6%29+
= +%288-+4+X+6%29+
= +%288-24%29+
= +%28-16%29+
therefore +%28-16%29+ is the required answer!!