SOLUTION: Okay, The answer to my equation is sqrt 90. But it has to be simplified. So I have to factor out 90. so I have 2*3*3*5, so is my answer 3 sqrt 10??

Algebra ->  Square-cubic-other-roots -> SOLUTION: Okay, The answer to my equation is sqrt 90. But it has to be simplified. So I have to factor out 90. so I have 2*3*3*5, so is my answer 3 sqrt 10??      Log On


   

Question 261412: Okay, The answer to my equation is sqrt 90. But it has to be simplified. So I have to factor out 90. so I have 2*3*3*5, so is my answer 3 sqrt 10??
Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. sqrt%2890%29=3%2Asqrt%2810%29


As a basic check, use a calculator to get sqrt%2890%29=9.48683298050513 and 3%2Asqrt%2810%29=9.48683298050513 which shows us that sqrt%2890%29=3%2Asqrt%2810%29

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
Yes.

The way to check that is to use a calculator to approximate 
it with a decimal:

Find sqrt%2890%29 with a calculator, you'll get 9.486832981

Then find 3%22%D7%22sqrt%2810%29, you'll also get 9.48632981

Then you know you are right.

Edwin