Question

Find the square root of 5929 by the factorization method.​

Answer 1

Step-by-step explanation:

Prime Factors of 5929 =7, 7, 11, 11

this is the prime factor tree of 5929

5929  

/     \

7     847

/       \

7      121

/       \

11      11

/       \

11      1

5929 is divisible by 7,7,11,11

5929÷7= 847

847÷7= 121

121÷11=11

11÷11= 1

There fore 5929 = 7×7×11×11

we took the pairs of 7 and 11

Hence the square root of 5929=7×11

=77

HOPE THIS HELPS YOU :D