Question

4.22

Find the cube root of each of the following natural numbers by prime factorization

(xii) 33698267​

Answer 1

Answer:

323

Step-by-step explanation:

Cube root by factors:

On factorising 33698267 into prime factors, we get: 33698267 = 17 x 17 x 17 x 19 x 19 x 19

On grouping the factors in triples of equal factors, we get: 33698267 = {17 x 17 x 17} x {19 x 19 x 19}

Now, taking one factor from each triple, we get:

33698267−−−−−−−−√3 = 17 x 19 = 323

Answer 2

Answer:

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