Simplify (2 square root 5+3square root 7)^2 justify each step

Answer 1

(2√5 + 3√7)^2

Step 1: (2√5)^2 + 2(2√5)(3√7) + (3√7)^2
= 4(√5)^2 + 12√5√7 + 9(√7)^2
= 4(5) + 12√35 + 9(7)
= 20 + 12√35 + 63
= 83 + 12√35

The simplified expression is 83 + 12√35.