If p = 124, ³√p( p² + 3p + 3 ) + 1 is

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If p = 124, ³√p( p² + 3p + 3 ) + 1 is

1. 5
2. 7
3. 123
4. 125

Correct Option: D

Using Rule 8,
Expression = ³√p( p² + 3p + 3 ) + 1
Expression = ³√( p³ + 3p² + 3p + 1
Expression = ³√(p + 1)³ = [ ( p + 1 )³ ]^{1 / 3} = ( p + 1 )
When p = 124,
Expression = p + 1 = 124 + 1 = 125