Question

Find the cube root of 636056 by prime factorisation

Answer 1

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Answer 2

∛636056 = 86  

Given:

∛636056

To find:

The value of ∛636056

Solution:

           Cube root of a number is a factor which is multiplied by itself three times to get the resultant number.

Given number is 636056  

Now find which number can write in form of a³ to get 636056

To find ∛636056 value,

write 636056 as product of prime numbers

636056 = 2 x 2 x 2 x 43 x 43 x 43  

Now group the above factors in the form of a²  

2 x 2 x 2 x 43 x 43 x 43  = 2³ × 43³

Therefore,  ∛636056 =  2×43 = 86  

∛636056 = 86

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