SOLUTION: Given the following, what will the value of the final expression be if x = 1, y = 2, and z = 1 using the decimal value of the square root of 2 rounded to the nearest tenth? If y

Algebra ->  Radicals -> SOLUTION: Given the following, what will the value of the final expression be if x = 1, y = 2, and z = 1 using the decimal value of the square root of 2 rounded to the nearest tenth? If y      Log On


   

Question 597721: Given the following, what will the value of the final expression be if x = 1, y = 2, and z = 1 using the decimal value of the square root of 2 rounded to the nearest tenth?
If you could help I have tried so many different things. Thanks in advance!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You could go that route, but you'd eventually plug in the given values and evaluate. So why not just skip to this part and make things easier?

3z%2Asqrt%2850xy%5E8z%5E5%29

3%281%29%2Asqrt%2850%281%29%282%29%5E8%281%29%5E5%29

3%281%29%2Asqrt%2850%281%29%28256%29%281%29%29

3%2Asqrt%2812800%29

3%2Asqrt%286400%2A2%29

3%2Asqrt%286400%29%2Asqrt%282%29

3%2A80%2Asqrt%282%29

240%2Asqrt%282%29


So 3z%2Asqrt%2850xy%5E8z%5E5%29=240%2Asqrt%282%29 exactly (where x = 1, y = 2 and z = 1)

If you use the "the decimal value of the square root of 2", then

This means that 240%2Asqrt%282%29=240%281.414213%29=339.41112 which rounds to 339.4

So (notice how this is approximate and not exact) where x = 1, y = 2 and z = 1