Question

Which of the following gives the 3rd root of 92 modulo 187? (Note that 187=11⋅17.)

Answer 1

3√92 [187]
3√4×23[11.17]
2×3√11+17×11.17=0

Answer 2

Explanation:

In the given question we have to find the third root of 92 modulo 187 and we know that the prime factors of 187 are are 11 and 17 that is they are the prime numbers that give the product of 187.

Writing the modular form in equation form we get:-

$= 3$ $\sqrt{92[187]}$

Breaking 92 into its factors we get

$= 3$ $\sqrt{4 \times 23 [187]}$

$=$ $3 \times 2 \sqrt{23 [11 \times 17]}$

Hence, The primitive root or n here would be 0. "

To know more:

If x is congruent to 13 modulo 17 then 7x-3 is congruent to which number

https://brainly.in/question/9897541