Question

(a - b / √a - √b) - √b

Answer 1

=(sgrt a - sgrt b)*(sgrt a + sgrt b) / (sgrt a - sgrt b)    - sgrt b = 
= sgrt a  + sgrt b - sgrt  b = sgrt a.   + sgrt  это квадратный корень. 

Answer 2

To simplify the expression, let's start by combining the two terms that contain square roots:

(a - b / √a - √b) - √b

To do this, we'll find a common denominator for the fractions:

Common denominator = √a

Now, rewrite each term with the common denominator:

(a * √a - b - √a * √b) / √a - √b

Next, let's simplify the expression in the numerator:

Since a * √a = √(a^2) = √a^2 = √a * √a = a, we have:

(a - b - √a * √b) / √a - √b

Now, we'll factor out √a from the last two terms in the numerator:

(a - b - √a * √b) = a - b - √a * √b = a - b - √(a * b)

So, the simplified expression is:

(a - b - √(a * b)) / √a - √b