Which of the following statement(s) is/are TRUE?
I. √5 + √5 > √7 + √3
II. √6 + √7 > √8 + √5
III. √3 + √9 > √6 + √6
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2, i.e. Only I and II
I. Squaring both sides, we get
10 + 2√25 > 10 + 2√21 (true)
II. Squaring both sides,
13 + 2√42 > 13 + 2√40 (true)
III. Squaring both sides
12 + 2√27 > 12 + 2√36 (false)