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  1. If p = 3 +
    1
    		 , the value of p4 +
    1
    		is :
    pp4
    1. 81
    2. 27
    3. 120
    4. 119
Correct Option: D

p = 3 +
1
 (Given)
p

∴ p -
1
 = 3
p

On squaring both sides,
⇒ p -
1
2 = (3)2 = 9
p

⇒ p2 +
1
 - 2 = 9
p2

⇒ p2 +
1
 = 9 + 2 = 11
p2

On squaring again,
⇒ p2 +
1
2 = (11)2 = 121
p2

⇒ p4 +
1
 + 2 = 121
p4

⇒ p4 +
1
 = 121 - 2 = 119
p4


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