Will all problems adding positive radicals have a rational solution?

No

Step-by-step explanation:

Let us consider two positive radicals first,

We know that is an irrational number and is also an irrational number.

So the sum of two positive radicals does not always have a rational solution.

There are examples when the some of adding positive radicals can get us a rational solution. For example,

So if the radicand is a perfect square then the solution is rational.

goog may have it for you

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.