Hi!
I was wondering after you simplify a radical, can you add the rest of the equation to whats outside of the radical?
ex. 20 + 10√35
Would that be 30√35 or would it stay as 20+10√35
Thank you in advance, this is really bugging me! :)
No, √35 is a number like any other, so it has to be included
Just as 20+10x is not 30x,
20 + 10√35 is not 30√35
20√35 + 10√35 = 30√35
20+10√35 = 10(2+√35)
Ohhh! Thank you so much!
Hello! I'd be happy to help clarify your question.
When you simplify a radical, you can only combine like terms that are both inside or both outside of the radical. Let's take a look at your example: 20 + 10√35.
The expression 10√35 contains a radical, so we cannot combine it directly with the 20. The simplified form of the expression would still be 20 + 10√35. We are unable to add the 20 and the 10√35 together because they are not like terms.
To give you a better understanding, let's break it down step by step:
Step 1: Simplify the radical, if possible.
10√35 cannot be simplified further since the number 35 does not have any perfect square factors.
Step 2: Combine like terms, if any.
In this case, there are no other terms with a radical, so we cannot combine anything.
Therefore, the simplified form of 20 + 10√35 is still 20 + 10√35.
I hope this explanation clears up any confusion. Let me know if you have any further questions!