What is the following product? (1√2+√6)(√6- √10)

Using the distributive property, this is
  (√2)×(√6 -√10) +(√6)(√6 -√10)
  = 2√3 - 2√5 +6 -2√15

The product is ...
  6 +2√3 -2√5 -2√15


When simplifying the product, it helps to realize that any factor of 4 inside the radical can be brought outside as a factor of √4 = 2.
  (√2)(√6) = √12 = √(4*3) = 2√3
  (√2)(√10) = √20 = √(4*5) = 2√5
  (√6)(√10) = √60 = √(4*15) = 2√15

The linear equation is: y=ax+b