Question

what is the value of expression√0.000729

Answer 1

Given that,
6√0.000729
first method to solve the equation.
after removing the decimal, the equation will be 
= 6√729/1000000
Simplify the equation.
= 6√3 x 3 x 3 x 3 x 3 x 3 / 10 x 10 x 10 x 10 x 10 x 10 
= 6√36/106 
= 6√( 3/10 )6 
After simplifying the root we will get, 
= ( 3/10 )6 x 1/6 
= 3/10 
= 0.3


Second method to solve the equation.
simplify the the number in multiplication of numbers. 
6√0.000729
6√0.3 x 0.3 x 0.3 x 0.3 x 0.3 x 0.3 
= 6√(0.3)6 
remove the root and simplify ,
= (0.3)6 x 1/6 
= 0.3