Question 14

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

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)


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App