Question

Cube root of numbers by prime factotization of 729

Answer 1

Answer:

729 = 9√729

9√81

9√9

=1

hence , 9 x 9 x 9 = 9 answer

Answer 2

Answer:

Factorize 729 first...

729=3*3*3*3*3*3

\sqrt[3]{729} = \sqrt[3]{3 \times 3 \times 3 \times 3 \times 3 \times 3}

3

729

=

3

3×3×3×3×3×3

\sqrt[3]{729} = 9

3

729

=9

So, 9 is the cube root of 729