How to find cube root ? Explain it.
Answers
Answer:
Set up the problem. Solving the cube root of a number is going to look like solving a long division problem, with a few special differences. The first step is to set up the problem in the proper format.[1]
Write down the number whose cube root you want to find. Write the digits in groups of three, using the decimal point as your starting place. For this example, you will find the cube root of 10. Write this as 10. 000 000. The extra 0s are to allow precision in the solution.
Draw a cube root radical sign over the number. This serves the same purpose as the long division bar line. The only difference is the shape of the symbol.
Place a decimal point above the bar line, directly above the decimal point in the original number.
Know the cubes of single digit numbers. You will use these in the computations. These cubes are as follows:
{\displaystyle 1^{3}=1*1*1=1}1^{3}=1*1*1=1
{\displaystyle 2^{3}=2*2*2=8}2^{3}=2*2*2=8
{\displaystyle 3^{3}=3*3*3=27}3^{3}=3*3*3=27
{\displaystyle 4^{3}=4*4*4=64}4^{3}=4*4*4=64
{\displaystyle 5^{3}=5*5*5=125}5^{3}=5*5*5=125
{\displaystyle 6^{3}=6*6*6=216}6^{3}=6*6*6=216
{\displaystyle 7^{3}=7*7*7=343}7^{3}=7*7*7=343
{\displaystyle 8^{3}=8*8*8=512}8^{3}=8*8*8=512
{\displaystyle 9^{3}=9*9*9=729}9^{3}=9*9*9=729
{\displaystyle 10^{3}=10*10*10=1000}10^{3}=10*10*10=1000
Find the first digit of your solution. Select a number that, when cubed, gives the largest possible result less than the first set of three numbers.[2]
In this example, the first set of three numbers is 10. Find the largest perfect cube that is less than 10. That number is 8, and its cube root is 2.
Write the number 2 above the radical bar line, over the number 10. Write the value of {\displaystyle 2^{3}}2^{3}, which is 8, underneath the number 10, draw a line and subtract, just as you would in long division. The result is a 2.
After the subtraction, you have the first digit of your solution. You need to decide if this one digit is a precise enough result. In most cases, it will not be. You can check by cubing the single digit and decide if that is close enough to the result you wanted. Here, because {\displaystyle 2^{3}}2^{3} is only 8, not very close to 10, you should continue.
Answer:
The cube root formula is used to give cube root value of any number. To recall , the cube of any number is found by multiplying the number 3 times
FOR EXAMPLE 5×5×5=125