Question

find the cube root of 2744.​

Answer 1

14 is the cube root of 2744.

Answer 2

Given:

2744

To Find:

Find the cube root

Solution:

Cube root is the number which when multiplied by itself three times gives the number itself. Say cube root of 8 is 2, so 2*2*2 will give you 8 itself, Symbol used for cube root is the same as the square root just a 3 is denoted in the Creech

To find the cube root first we need to prime factorize the number and then pair the prime number in three and extract each one out for each pair and the resultant numbers multiplied by itself gives cube root.

2744=2*2*2*7*7*7

Now pairing them in three

2744=(2*2*2)*(7*7*7)

So the cube root of 2744 will be 2*7=14

Showing it in the equation we have,

$=\sqrt[3]{2744} \\=\sqrt[3]{2*2*2*7*7*7} \\=2*7\\=14$

Hence, the cube root of 2744 is 14.