Which of the following statement(s) is/are TRUE? I. 2√3 > 3√2 II. 4√2 > 2√8

Question 14

Solution

We know that $$\sqrt3=1.7$$, $$\sqrt2=1.4$$ and $$\sqrt8=2.8$$

I) $$2\sqrt3=2\times1.7\approx3.4$$

and $$3\sqrt2=3\times1.4=4.2$$

=> $$3\sqrt2>2\sqrt3$$

II) $$4\sqrt2=4\times1.4\approx2.8$$

and $$2\sqrt8=2\times2.8=5.6$$

=> $$2\sqrt8>4\sqrt2$$

$$\therefore$$ Neither I and II are true.

=> Ans - (C)

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Which of the following statement(s) is/are TRUE?I. 2√3 > 3√2II. 4√2 > 2√8