SOLUTION: Hi, can you please show step by step on how to get {{{ r = 1/5 }}} as an answer to the equation {{{ r^3 = 182.25/54 }}} I appreciate the help. Thank you in advance.

Algebra ->  Equations -> SOLUTION: Hi, can you please show step by step on how to get {{{ r = 1/5 }}} as an answer to the equation {{{ r^3 = 182.25/54 }}} I appreciate the help. Thank you in advance.      Log On


   

Question 1062530: Hi, can you please show step by step on how to get +r+=+1%2F5+ as an answer to the equation +r%5E3+=+182.25%2F54+
I appreciate the help. Thank you in advance.
Found 2 solutions by ikleyn, KMST:
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.
First step is 182.25%2F54 = 3.375.

Use a calculator, or a computer, or make long division. (I used my Excel in my computer).

Second step is root%283%2C3.375%29 = 1.5.

Again, Use a calculator, or a computer. (I used my Excel in my computer).

Or simply check that 1.5%5E3 = 3.375.


Which of these steps is/was difficult to you ?

Please keep in mind that making calculations for you is NOT the tutors' job, by the definition.

It is YOUR job.


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
182.25+=+729%2F4 , so multiplying numerator and denominator times 4, we get 182.25%2F54=729%2F216 .
I happen to rememberase that 216=6%5E3=3%5E3%2A2%5E3 and obviously 729=81%2A9=3%5E4%2A3%5E2=3%5E6 , so
.
No calculator needed, but prime factorization is so helpful.