cube roots in general- mathematics Tricks and Fun

Cube roots in general - mathematics Tricks and Fun

In this class we will be studying cube roots in general 

I am doctor Prema B DpSejekan, mathematics tricks 

and fun. in the previous class we have finished the 

cube roots of exact cubes. if you have not seen that 

video it 

will be advisable to see that .the link is given below .

 In extracting the cube root of a number, first count

 the digits and convert into 3 digit groups and end

 digits 

even if comes as 2 or 2 digits consider as single

 group.

We should always recollect the cubes of unit digits.

Algebraic explanation for the the cube roots is given

 here and the cube root has two digits we will use

 the 

a plus b whole cube derivation and when 3 digits

 a + b + c whole cube and its derivatives will be used

 same way 

for 4 a + b + c + D whole cube and its derivatives.

A few examples are shown.

 In finding the cube roots there are different 

methods. general principle single digit method

 that is 3 digits 

give 1 cube root now so first 3 digit are taken in 1 

digit method and in double digit method we use 6 

digits of

 the number ie 2 digits of cube root derived tigether In 

the third method,we.divide the whole number by 8 and make it small and exttract the cube root and derived

 cube root is multiplied by the cube root of 8 that is 2. 

   4 when cube root of a small digital like cube root of

 2 cube root of 3 it is difficult so you multiply that 

with

 cube of 2 cube of 3 ,cube of 4,or Cuba 5 and make it

 in 

the exceptionally bigger number and find the cube

 root and once the cube root is found we divide that number

 to get the actual cube root the four methods are

 shown

 in the slides

 Here there 12 digits ie we will get 4 digits in theCR.

this

 we are dividing by unit digit method.ie first 355 is 

taken cube of 7 is smaller than 355 then balance 12 carried

 over to zero.but 120 is smaller than 147 we put 0 on quotient side and add 4 also so that actual dividend is 1204 now 3ab2 we have to use since b is zero answer 

is zero so the AD is 1204 we divide this by 147 we get

8 as quotient. subtract ,1176 from 1204 we get28 

which is carried over to ,5 again divide by ,6abc+b but

 b is zero 

so we AD is 285 which on dividing with 147 we get

 1 as quotient and balance138 carried over and 

divided by6

 Here 2 digit method of division is shown ie totally 6 

digits are taken as first step .but the divisor becomes

 big .here to divide.

Here division by 8 is shown so that the number be

 comes smaller and then divide as usual.After this 

you multiply the product by cube root of 8 ie 2 her

 we have divided thrice with 8 So 2×2×2 ie 8 .so on multiplying with 8 we get 9256..we can use this only 

with even numbers.

Here we have to find cube root of 2 .because the digit

 is small we make it bigger by multiplying with 53 and

 then divide after getting the product divide it with 5.

In the coming classes we will study auxillary fractions

 and recurring  

 Decimals. Thank you subscribe to my channel