# Find the cube root of each of the following cube number through estimation: 85184

Last updated date: 23rd Mar 2023

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Answer

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Hint: We have to solve this problem by estimating the cube root value of a number,we know that

${44^3} = 85184$

Therefore, if we compare the values of the given number and the cube of 45, we can see that the given number is less than the cube of 45, therefore, we are going to check the numbers below 45 to see if the cube equals the given number.

Let us try the cube of 44,

${44^3} = 85184$

Therefore, the cube root of 85184 is 44.

Answer = 44

Note: To solve these types of questions, we can use the prime factorization as well but in the question it has been asked to be found out with the help of estimation.

${44^3} = 85184$

Therefore, if we compare the values of the given number and the cube of 45, we can see that the given number is less than the cube of 45, therefore, we are going to check the numbers below 45 to see if the cube equals the given number.

Let us try the cube of 44,

${44^3} = 85184$

Therefore, the cube root of 85184 is 44.

Answer = 44

Note: To solve these types of questions, we can use the prime factorization as well but in the question it has been asked to be found out with the help of estimation.

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