1.

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

Answer»

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



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