Simplifying a quotient involving a sum or difference with a square root

Question

simplify

√8-16/18

Answer 1

To simplify this expression, we need to first evaluate the square root of 8 and then perform the subtraction:

√8 - 16/18

√8 = √(4 * 2) = √4 * √2 = 2√2

Now substitute this back into the expression:

2√2 - 16/18

Now simplify the subtraction:

2√2 - 16/18 = 2√2 - 8/9

So, the simplified expression is 2√2 - 8/9