Question

If 52272=P2*Q3*R4 Where P Q R Are Prime Number Then The Value Of(2P+Q-R) Is What

Answer 1

Answer:

2P + Q - R  = 23

Step-by-step explanation:

If 52272=P²*Q³*R⁴ Where P Q R Are Prime Number Then The Value Of

(2P+Q-R) Is

52272 = 2 * 26136

26136 = 2 * 13068

13068 = 2 * 6534

6534 = 2 * 3267

3267 = 3 * 1089

1089 = 3 * 363

363 = 3 * 121

121 = 11 * 11

=> 52272 = 2*2 *2 *2 * 3 * 3 * 3 * 11 * 11

=>  52272 = 11²*3³*2⁴

Comparing with P²*Q³*R⁴

=> P = 11  , Q = 3  & R = 2

2P + Q - R  = 2*11 + 3 - 2 = 23

2P + Q - R  = 23