Question

(a+√ ) (a-√ ) =_________________​

Answer 1

Answer:

I have always used a very simple method to answer these types of questions in my exams.

Assume x=√a+√b

Square in both sides: x^2 = <√a+√b>^2

Expand the right hand side of the equation.

That will give you x^2 = a + b + 2( √ab)

X will be the square root of the expression on the right.

I have assumed that a and b are positive whole numbers.

You can check this out by substitution of values for a and b.

Let's take a = 25 and b = 4.

√a + √b = 7.

25+4+ 2(√100) = 49. √49 = 7.