Find a rational number and an irrational number that is between 7.7 and 7.9. Include the decimal approxdimation of the irrational number to the nearest hundredth.

Question

solomonzelman · Answer

the rational number is exactly the middle between 7.7 and 7.9.

for irrational number, tho', I guess you can choose any irrational number on that interval

solomonzelman · Answer

let me demonstrate 1 way to find the irrational number.

I know that 7.8²=60.84
So, I can guess that √61 will be somewhere between 7.8 and 7.7
((and that certainly implies that √61 is between 7.7 and 7.9))