Question

Can we find cube root of any number through estimation

Answer 1

Answer:

Step I : Make groups of 3 digits from unit(one's) place.This the 1st group.The remaining number makes the 2nd group.

Step II : The unit's digit of the 1st group will decide the unit digit of the cube root.( if the unit digit of the cube is 6 then the unit digit of cube root will also 6 as 6 x 6 x 6 = 3 6 ).

Step III : Find the cube of numbers between which the 2nd group lie.

Step IV : Take the smaller number as its ten's digit.

example-

1) Find the cube root of 238328.

Solution :

238328 is an even number so its cube root has to an even number.

Make two groups ---> 238328

First group 328 ---> unit digit is 8 so unit digit of cube root will be 2.

(see the above table).

Second Group 238 -----> it lies between 6 3 =216 and 7 3 =343 .

So take the smaller number 6 as ten's place.

∴ ∛238328 = 62

Answer 2

Answer:

Yes

Step-by-step explanation:

For eg:

225

Now divide the number into a digit containing 3 digits(343)

Here we have three digits

Now look at last digit think of a square number containing 3 as last digit.

It is 7.

That is 7*7*7=343