What is the following product? (4x sqrt5^2 + 2x^2 sqrt6)^2

asked Oct 4, 2019 5.6k views

2 votes

9.1k points

Please log in or register to add a comment.

1 vote

We expand the perfect square trinomial using the formula:
(a+b)^2=a^2+2ab+b^2

$(4x^(2) √(5)+2x^(2) √(6))^2 \\ =(4x^(2) √(5))^2 + 2(4x^(2) √(5))(2x^(2) √(6))+(2x^(2) √(6))^2 \\ =80x^4+16x^4 √(30)+24x^4 \\ =(104+16√(30))x^4$

8.2k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.1m answers