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If x = 3 + 2√2, then the value of ❨ √x - 1 ❩ is: √x

Correct Answer: 2

Explanation:

x - 1 2 = x + 1 - 2
x x



   = (3 + 2√2) + 1 - 2
(3 + 2√2)



   = (3 + 2√2) + 1 x (3 - 2√2) - 2
(3 + 2√2) (3 - 2√2)


   = (3 + 2√2) + (3 - 2√2) - 2


   = 4.



x - 1 = 2.
x
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