Which is larger:
the tenth root of 10, or the cube root of 2?
Puzzle Copyright © Kevin Stone
workings hide hint answer print
A box for your workings out:
Hint: You don't need to use a calculator.
Answer: Cube root of 2.
We have 101/10 vs 21/3.Therefore the cube root of 2 is larger. Alternatively we can use a calculator to see that the tenth root of 10 = 1.2589 and the cube root of 2 = 1.2599.
We have 101/10 vs 21/3.
Raise each to the power of 30 (since 10 x 3 = 30) to give:
101/10 x 30 vs 21/3 x 30, which simplifies to:
103 vs 210, which gives:
1000 vs 1024.
Share link: www.brainbashers.com/zhai
Note: BrainBashers has a Dark Mode setting.