Practice mode Surds and Indices

If x = 3 + 2√2, what is the value of x + 1/x?

Correct answer B. 6

Explanation

1/x = 1/(3 + 2√2) = 3 − 2√2 because (3 + 2√2)(3 − 2√2) = 9 − 8 = 1. So x + 1/x = 6.

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