Math problem help?

Question

Let us define the operation Ω as x Ω y= (x + y)² - (x - y)². Find the value of √18 Ω √2.

Answer 1

First, let's simplify √18:  √18 = √9√2 = 3√2

 

So, √18 Ω √2 = 3√2 Ω √2 = (3√2 + √2)² - (3√2 - √2)²

                  

                                              = (4√2)² - (2√2)²

 

                                              = 32 - 8 = 24