Question

Cube root of 804357 through estimation

Answer 1

The number has 6 digits.
Then, the cube root will have at least 2 digits.

Find out, the cube of which numbers ends with 7.
Only 3.
So, units place digit will be 3.

Find out the cube of which number comes close to the given number.
$90^{3}$ = 729000
$95^{3}$ = 857375
Thus, the required number lies between these two.
By trial, we get $93^{3}$ = 804357

$\sqrt[3]{804357} = 93$