Question

What is the square root of a+b

Answer 1

You cannot simplify √(a + b), because it is NOT equal to √(a) + √(b).

In other words, the square root of a sum is NOT equal to the sum of the square roots.

For example: √(3 + 5) = √(8) = 2.82842712, whereas √(3) + √(5) = 3.96811879, so √(3) + √(5) does NOT equal √(3 + 5).

On the other hand, the square root of a product IS equal to the product of the square roots: √(a * b) = √(a) * √(b)

For example: √(3 * 5) = √(15) = 3.87298335, and √(3) * √(5) is also equal to 3.87298335, so √(3 * 5) = √(3) * √(5