Question

square root of 15370 by prime factorization​

Answer 1

Answer:

1) To be able to simplify the square root of 15370, one of the factors of 15370 other than 1 must be a perfect square. The factors of 15370 are 1, 2, 5, 10, 29, 53, 58, 106, 145, 265, 290, 530, 1537, 3074, 7685, and 15370. Since none of these factors are perfect squares, the square root of 15370 cannot be simplified.

2) To be able to simplify the square root of 15370, all the prime factors of 15370 cannot be unique. When we did prime factorization of 15370, we found that 2 x 5 x 29 x 53 equals 15370. Since all the prime factors are unique, the square root of 15370 cannot be simplified.