SOLUTION: i'm confused as to how : the square root of (1/81)+(1/144) equates to the square root of 25/1296. is there something i'm missing?

Question 216467: i'm confused as to how : the square root of (1/81)+(1/144) equates to the square root of 25/1296. is there something i'm missing?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Simply add the two fractions:

Solved by pluggable solver: Fractions Solver

Start with the given expression

In order to add these two fractions, these fractions need to have a common denominator.

In order to do that, we simply find that the LCM of 81 and 144 is 1296 (note: if you need help with finding the LCM, check out this solver)

Now we need to get each denominator to 1296

Multiply by

Multiply and to get

Multiply by

Multiply and to get

Since both fractions have a common denominator of 1296, we can now combine the fractions

Combine the fractions

Add the numerators

So

Because , this means

You can take this even further by saying:

So
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