Solve:
If x= 2 by 3+√7, then (x-3)²=?
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Step-by-step explanation:
x = 2/3+√7
= 2(3-√7)/(3+√7)(3-√7)
= 6-2√7/(3)²-(√7)²
= 6-2√7/9-7
= 6-2√7/2
= 2(3-√7)/2
= 3-√7
Now,
(x-3)² = [(3-√7)-3]²
= (3-√7-3)²
= (-√7)²
= 7
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