Question

Factorize:-
7x^2 + 2√14x + 2

Answer 1

Answer: (√7 + √2)(√7 + √2) or (√7 + √2)^2

Step-by-step explanation:

 7x^2 + 2√14x + 2

= 7x^2 + 2 + 2√14x

= (√7)^2 + (√2)^2 + 2(√7x)(√2)

  [ identity (a+b)^2 = a^2 + b^2 + 2ab]

  [here, a = √7 and b = √2]

= (√7 + √2)^2