Question

find cube root using prime factorization
1)1331
2)3375​

Answer 1

11 × 11 × 11 = 1331..

15 × 15 × 15 = 3375...

Hope this helped....

Answer 2

HERE IS UR ANSWER DEAR,

PRIME FACTORIZATION:

1) 1331

11 | 1331

11 | 121

11 | 11

| 1

therefore ,

$1331 = \sqrt[3]{11 \times 11 \times 11}$

$\: \: \: \: \: \: \: \: \: \: \: = 11$

2) 3375

5 | 3375

5 | 675

5 | 135

3 | 27

3 | 9

3 | 3

| 1

therefore ,

$3375 = \sqrt[3]{5 \times 5 \times 5 \times 3 \times 3 \times 3}$

$\: \: \: \: \: \: \: \: \: \: \: = 5 \times 3$

$\: \: \: \: \: \: \: \: \: \: \: \: = 15$

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