[2+\sqrt2+1/{2+\sqrt2}-1/{2-\sqrt2}] is simplified to:

Powers and Roots Practice Test 5

Question : 27 of 31

Marks: +1, -0

[2+√2+1/{2+√2}-1/{2-√2}]

is simplified to:

Solution:

[2+√2+1/{2+√2}-1/{2-√2}]

=[2+√2+ {2-√2-2-√2}/{({2+√2}) ({2-√2}) }]

=2+√2-{2√2}/{4-2}

=2+√2-{2√2}/2=2

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