Question

find the cube root of the following natural number using prime factorization method

(I) 9261

(ii) 29791​

Answer 1

$\huge \colorbox{yellow}{Solution}$

A perfect cube can be expressed as a product of three same numbers

Now by resolving the given number into prime factors we get,

(I) 9261 = 3 × 3 × 3 × 7 × 7 × 7

3³×7³

(II) 29791 = 31 x 31 x 31

Hope it helps uh! ☺

Answer 2

$\huge \mathcal \colorbox{pink}{Answer}$

A perfect cube can be expressed as a product of three same numbers

Now by resolving the given number into prime factors we get,

(I) 9261 = 3 × 3 × 3 × 7 × 7 × 7

3³×7³

(II) 29791 = 31 x 31 x 31

Hope it helps ❤❤