Question

square root of 5929 by prime factorsation​

Answer 1

Answer:

So, the Prime Factors of 5929 are 7, 7, 11, 11. We took the pairs of 7 and 11. Hence, the square root of 5929=7×11=77. Therefore, the square root of 5929 found by Prime Factorisation Method is 77.

Answer 2

Answer:

77

Step-by-step explanation:

We need to determine the set of prime integers which when multiplied together gives the original number.

Dividing the given number, i.e., 5929 by the prime factor 7, we will get-

5929÷7=847→(1)

Now dividing the result, we get in equation (1) by the prime factor 7, we get-

847÷7=121

Similarly, dividing 121 by the prime factor 11, we get-

121÷11=11

Now, dividing 11 by the prime factor 11, we get-

11÷11=1

So, the Prime Factors of 5929 are 7, 7, 11, 11.

Therefore, 5929=7×7×11×11

We took the pairs of 7 and 11.

Hence, the square root of 5929=7×11=77.

Therefore, the square root of 5929 found by Prime Factorization Method is 77.