Cube root what is it

For example, the cube of 3 is Similarly, the cube of 4 is 64, and the cube of 5 is , and so on. To find the cube of a number, first, multiply that number by itself, then multiply the product obtained with the original number again. Let us find the cube of 7 through the same process. This value is This is equal to Hence, we can say that cube of the number 7 is Similar to the cube of a number, the cube of a fraction can be found by multiplying it three times.

The process to find the cube of a negative number is the same as that of a whole number and fraction. Here, always remember that the cube of a negative number is always negative, while the cube of a positive number is always positive.

For example, let us try finding the cube of Hence, we can say that cube of the number -7 is This means the cube root of is 9. Example 2: Emily's father's age is 27 years.

Find the age of Emily if her age is the cube root of her father's age. The cube root of is the number which when multiplied three times by itself gives as the product. This means the cube root of is 7. The cube of a number is the value of the third exponent of the number. Cube root is used to solve cubic equations.

They are also used to find the dimensions of a cube if the volume is given. Cube root can be simplified using the prime factorization method. First, do the prime factorization of the given number, then take out the common factors in groups of 3. Multiply these common factors to get the answer.

Yes, the simplification of negative cube roots is the same as positive cube roots. The only difference is the presence of a negative sign with the cube root of a negative number. A number is not a perfect cube if we cannot make 3 equal groups of factors of the number after doing the prime factorization.

For example, is not a perfect cube because there is no number that, when multiplied 3 times with itself, gives as the product. In other words, if the cube root of a number is not an integer, then it is not a perfect cube. The cube of an odd natural number is always an odd number. No, the cube root of an odd number is always odd.

Here, both 3 and 27 are odd numbers. The easiest and basic method to find the cube root of any number is the prime factorization method. Learn Practice Download. Cube Root Whenever a number x is multiplied three times, then the resultant number is known as the cube of that number. What is a Cube Root? How to Find Cube Root of a Number? Set up a "division" with the number under the radical. Mark off triples of digits, starting from the decimal point and working left.

The decimal point is a period. Look at the leftmost digit s 55 in this case. What is the largest number whose cube is less than or equal to it? It is 3, whose cube is Write 3 above, write the cube below and subtract. But that is too big! So we'll try 8 as the next digit instead.

Bring down the next three digits. So the cube root of is