Question

find cube root of -474552 by prime factorization

Answer 1

so cube root =2×3×13
cube root=-78

Answer 2

Answer: -78

Step-by-step explanation:

The prime factorization of $474552=2*2*2*3*3*3*13*13*13$

Therefore, $474552$ can be written as:

$474552 =(2*3*13)^3$

Now, the cube root of $474552$  will be :-

$\sqrt[3]{474552} =78$

Since, cuberoot of a negative number is a negative number .

Therefore, the cube root of $-474552=\sqrt[3]{-474552} =-78$