Which of the following statement(s) is/are **TRUE**? I. \surd5 + \surd5 > \surd7 + \surd3 II. \surd6 + \surd7 > \surd8 + \surd5 III. \surd3 + \surd9 > \surd6 + \surd6

Question 11

Which of the following statement(s) is/are TRUE?

I. $$\surd5 + \surd5 > \surd7 + \surd3$$
II. $$\surd6 + \surd7 > \surd8 + \surd5$$
III. $$\surd3 + \surd9 > \surd6 + \surd6$$

Solution

Statement I :

$$\sqrt{5}+\sqrt{5}=4.47\ .$$ and $$\sqrt{7}+\sqrt{3}=4.37\ .$$

So, Statement I is correct .

Statement II :

$$\sqrt{6}+\sqrt{7}=5.09\ \ and\ \ \sqrt{8}+\sqrt{5}=5.06\ .$$

II is also correct .

Statement III:

$$\sqrt{3}+\sqrt{9}=4.73\ \ and\ \ \sqrt{6}+\sqrt{6}=4.89\ .$$

So, III is not correct .

B is correct choice.

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: