What is the cube root of 2^1/3 - 1?

Asked by bjayanta | 5th Jun, 2015, 02:19: PM

Expert Answer:

2 to the power of 1 divided by 3 end exponent minus 1 equals open parentheses 2 to the power of 1 divided by 9 end exponent close parentheses cubed minus 1 cubed equals open parentheses 2 to the power of 1 divided by 9 end exponent minus 1 close parentheses open parentheses 2 to the power of 2 divided by 9 end exponent plus 2 to the power of 1 divided by 9 end exponent plus 1 close parentheses H e n c e comma space cube root of 2 to the power of 1 divided by 3 end exponent minus 1 end root equals cube root of open parentheses 2 to the power of 1 divided by 9 end exponent minus 1 close parentheses open parentheses 2 to the power of 2 divided by 9 end exponent plus 2 to the power of 1 divided by 9 end exponent plus 1 close parentheses end root equals cube root of open parentheses 2 to the power of 1 divided by 9 end exponent minus 1 close parentheses end root cross times cube root of open parentheses 2 to the power of 2 divided by 9 end exponent plus 2 to the power of 1 divided by 9 end exponent plus 1 close parentheses end root

Answered by satyajit samal | 7th Jun, 2015, 06:51: PM