Answer: √5 + 37π/5.
Step-by-step explanation:
To calculate the exact value of E, we can follow the order of operations (PEMDAS):
E = 3√5 + 7π/5 - 2(√5 - 3π)
E = 3√5 + 7π/5 - 2√5 + 6π (distribute the -2)
E = (3√5 - 2√5) + (7π/5 + 6π) (combine like terms)
E = √5 + 37π/5
Therefore, the exact value of E is √5 + 37π/5.