mutiply and simplify the product

Question

A). (5-√7)^2            B). (√2+3)^2

Answer 1

A) (5-√7)²

 

     =  (5-√7)* (5-√7)

     =  5*5 - 5√7 - 5√7 + (-√7)(-√7)

     =  25 - 10√7 + 7

     =  32 - 10√7

 

B) (√2+3)²

 

     =  (√2+3)(√2+3)

     = √2*√2 + 3√2 + 3√2 + 3*3

     =  2 + 6√2 + 9

     = 11 + 6√2