What is the value of the expression √((12345)² + 12345 + 12346?
Show answer & explanation
Correct answer: B
Explanation
√(12345² + 12345 + 12346)
According to the formula:
a² + 2a + 1 = (a + 1)²
12345 + 12346 = 24691
12345² + 12345 + 12346
= 12345² + 24691
= 12345² + 2×12345 + 1
= (12345 + 1)²
= 12346²
√(12346²)= 12346