SOLUTION: Find the two whole numbers that are closest to cubed square root of 22. explain how you know they are the closest ones

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Question 1189388: Find the two whole numbers that are closest to cubed square root of 22. explain how you know they are the closest ones
Found 3 solutions by MathLover1, greenestamps, josgarithmetic:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%2822%29%29%5E3=103.18914671611546
so, the two whole numbers that are closest to 103.18914671611546 are 103 and 104
103%3C%28sqrt%2822%29%29%5E3%3C104

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I'm curious if all you were supposed to do with this problem is evaluate the expression using a calculator. That seems to be a rather pointless exercise; you don't learn any mathematics by doing that.

If a particular method (without calculator) was supposed to be used to answer the problem, re-post the problem telling HOW the problem is supposed to be solved.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The exercise is either for using a electronic calculator or for using log tables.

Using log and antilog functions with a calculator, could still be done unless all you need is look at the computation 22%5E%283%2F2%29+ without resorting to log and antilog function.

%28sqrt%2822%29%29%5E3
Take log base 10, first.
log%2810%2C%2822%5E%281.5%29%29%29
%281.5%29%2Alog%2810%2C22%29=1.5%281.3424%29=2.01363

Find antilog base 10 for 2.01363.
Not even using log tables, just using calculator,
10%5E%282.01363%29=103.189
The two whole numbers closest to this are 103 and 104.

Easiest to just use calculator.
%28sqrt%2822%29%29%5E3=103.189
Between 103 and 104.