Find the valve of a and b in the following
3+2√3 by 3-2√3=a+b√3.
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(3 + 2√3)/(3 - 2√3) = a + b√3
(3 + 2√3)/(3 - 2√3) * (3 + 2√3)/(3 + 2√3)
(3 + 2√3)²/(9 - 12)
(9 + 12 + 12√3)/(-3)
(21 + 12√3)/(-3)
21/(-3) + 12√3/(-3)
-7 - 4√3
(-7) + (-4√3) = a + b√3
on comparing both side,
a = (-7) , b = -4
(3 + 2√3)/(3 - 2√3) * (3 + 2√3)/(3 + 2√3)
(3 + 2√3)²/(9 - 12)
(9 + 12 + 12√3)/(-3)
(21 + 12√3)/(-3)
21/(-3) + 12√3/(-3)
-7 - 4√3
(-7) + (-4√3) = a + b√3
on comparing both side,
a = (-7) , b = -4
Answered by
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hope this helps!
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