SOLUTION: I am not sure which answer is right Expres in simplest radical form sqrt 2 + sqrt 2/49 I have 2 answers 1.41 sqrt 1.41 over 7 or is it or is it 2/7 Thanks for any help

Question 202374This question is from textbook Algebra Structure and Method
: I am not sure which answer is right Expres in simplest radical form
sqrt 2 + sqrt 2/49 I have 2 answers 1.41 sqrt 1.41 over 7 or is it or is it 2/7
Thanks for any help This question is from textbook Algebra Structure and Method

Found 2 solutions by Theo, RAY100:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
I think what you are asking is:
Simplify
If so, then the following applies:
since
then your equation becomes:

This should then be able to be simplified further as follows:
since is the same as
then your equation becomes:
= which can be simpified further to:

-----
what this says is that:
is the same as which you can prove to be true by using a calculator as I did.
what I got was
1.616244071 = 1.616244071 which was true so the reduction to the simplest form looks good.

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
sqrt2 + sqrt(2/49)
,
sqrt2 + sqrt(2) /sqrt(49)
.
1*sqrt2 + (1/7)*sqrt2
.
1 1/7 *sqrt2,,,,,,,answer
.
or (8sqrt2)/7
.
.
numerically this is 1.616,,,as is the original
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