Question

What is `root(3)512`?

Answer 1

`root(3)512=8`

Explanation:

I will teach you the method to find cube root for a perfect cube
For that you must know the cubes of numbers up to 10:-
Cubes up to 10

`1^3=1`
`2^3=8`
`3^3=27`
`4^3=64`
`5^3=125`
`6^3=216`
`7^3=343`
`8^3=512`
`9^3=324`
`10^3=1000`

Method to find cube root easily:
Take any perfect cube to find its cube root
eg.`2197`

Step:1
Take the last three digits of the number `2ul197`
The last digit is `3` So,remember the number `3` till end

Step:2
Take the number's last three digits( `2ul197`)Here it is `2`
Take `2` and see in between which `2` cubes from `1-10` does `2` fit in
It is `1` and `2`.Now take the least cube root of the two numbers
`(1 and 2)`Here it is `1`.Remember the number `1`.

Step:3
The first number we got was `3`.Put it at the last.
The second number we got was `1`.Put it at first.
We get the number `13`.So,`13` is the cube root of `2197`

Note:If the number doesn't contain any number before its last three digits,The cube root of that number is a cube root between `1` `and` `10`.
This also happens for `512`.So,we get the answer of `8` which is between `1` and `10`.