Question

Which is the largest in 3√4,4√6,6√15,12√24543,64,156,24512. please answer with explanation​

Answer 1

Given -

3√4,4√6,6√15,12√24,√2453,64,156,24512

To find -

The largest one among these

How -

First make the surds equal with same root and then find the expansion of the numbers

Solution -

• 3√4- √4×3×3- √4×9- √36- 6
• 4√6- √4×6×6 -√4×36- √144- 12
• 6√15- √15×6×6- √15×36-√540-23.23
• 12√24543- √24543×12×12- √24543×144- √3534192- 1879.944
• 64 which is a rational number
• 156 is a rational number
• 24512 is also a rational number

Conclusion-

The largest one among these is 24512