Choose the incorrect relationship from the following:
I. √6 + √2 = √5 + √3
II. √6 + √2 < √5 + √3
III. √6 + √2 > √5 + √3
Show answer & explanation
Correct answer: B
Explanation
√6 + √2
≈ 2.449 + 1.414
≈ 3.863
√5 + √3
≈ 2.236 + 1.732
≈ 3.968
Therefore,
√6 + √2 < √5 + √3
Thus,
I. √6 + √2 = √5 + √3 (Incorrect)
II. √6 + √2 < √5 + √3 (Correct)
III. √6 + √2 > √5 + √3 (Incorrect)
I and III