Question

I need help with adding and substracting Radical Expressions

Answer 1

sqrt7/36 +sqrt252/25

Answer 2

The answer I got was 30sqrt7/30, but that is not the correct one. I need to know the process and figure out where I went wrong. Thanks!

Answer 3

36 and 25 in the radical ?

Answer 4

yes, it is over the entire fraction on both

Answer 5

okay, see how to simplify one by one
use these property :

sqrt(a/b) = sqrt(a)/sqrt(b) and
sqrt(a * b) = sqrt(a) * sqrt(b)

so,
sqrt(7/36)
= sqrt(7)/sqrt(36)
= sqrt(7)/6

now, sqrt252/25
= sqrt(252)/sqrt(25)
= sqrt(36 * 7)/sqrt(25)
= sqrt(36) * sqrt(7) /sqrt(25)
= 6sqrt(7)/5

add up all above, we get
sqrt(7)/6 + 6sqrt(7)/5
= (1/6 + 6/5)sqrt(7)
= 41/30 sqrt(7)

Answer 6

is that in your choice ?

Answer 7

Yes, that is the correct answer.
I am confused on the last part. I got the first two parts correct, but messed up when I tried to add them together.

Answer 8

this part ?
(1/6 + 6/5)sqrt(7) = 41/30 sqrt(7)

Answer 9

i used the property :
a sqrt(x) + b sqrt(x) = (a+b)sqrt(x)
if the rad is identic, just add its coefficients