mutiply and simplify the product

Question

A). (√6+1)(√6-)                      B). (4+root 3√3)(4-root3√3)

Answer 1

A)  It appears your equation is supposed to be (√6 + 1)(√6 - 1)

     = (√6)(√6) - √6 + √6 -1 = 6 -1 = 5

 

There is a formula for equations of this type  (a-b)(a+b) = a²-b²

(√6)² - (1)² = 6 - 1 = 5

 

B) (4 +3√3)(4 - 3√3)

    Again we can use the formula so this is 4² - (3√3)² = 16 - (3)²(√3)² = 16 - 9(3)

    = 16 - 27 = -11