Question 1 Report
If x = 3 - √3 3 , find x2 + 36x2
Answer Details
x = 3 - √3 3 x2 = (3 - √3 3 )2 = 9 + 3 - 6√34 34 = 12 - 6√3 3 = 6(2 - √3 3 ) ∴ x2 + 36x2 36 x 2 = 6(2 - √3 3 ) + 366(2−√3) 36 6 ( 2 − 3 ) 6(2 - √3 3 ) + 62−√3 6 2 − 3 = 6(- √3 3 ) + 6(2+√3)(2−√3)(2+√3) 6 ( 2 + 3 ) ( 2 − 3 ) ( 2 + 3 ) = 6(2 - √3 3 ) + 6(2+√3)4−3 6 ( 2 + 3 ) 4 − 3 6(2 - √3 3 ) + 6(2 + √3 3 ) = 12 + 12 = 24
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