Question 6

Which among $$2^{1/2}, 3^{1/3}, 4^{1/4}, 6^{1/6}$$, and $$12^{1/12}$$ is the largest?

Solution

Make the power equal and compare the denominators.

$$2^{1/2}$$ can be written as $$64^{1/12}$$

$$3^{1/3}$$ can be written as $$81^{1/12}$$

$$4^{1/4}$$ can be written as $$64^{1/12}$$

$$6^{1/6}$$ can be written as $$36^{1/12}$$

Among these, $$81^{1/12}$$ is the greatest => $$3^{1/3}$$ is the greatest.

Video Solution

video

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 35+ CAT previous year papers with video solutions PDF
  • 5000+ Topic-wise Previous year CAT Solved Questions for Free

cracku

Boost your Prep!

Download App