Monday

December 22, 2014

December 22, 2014

Posted by **Praphul** on Sunday, December 9, 2012 at 8:23am.

- math -
**Reiny**, Sunday, December 9, 2012 at 9:53amDid you mean

show that -1/2 + (1/2)√3 i is a cube root of 1 ??

If so, then show that (-1/2 + (1/2)√3 i )^3 = 1

LS = [ (-1/2) ( 1 - √3i) ]^3

= (-1/2)^3 [ 1 + 3(-√3i) + 3(-√3i)^2 + (-√3i)^3 ]

= (-18) [ 1 - 3√3i + 9i^2 - 3√3 i^3 ]

= (-1/8)(1 - 3√3 - 9 + 3√3i ]

=(-1/8)[-8}

= 1

= RS

Yes, -1/2 + (1/2)√3 i is a cube root of 1

**Answer this Question**

**Related Questions**

Calc - Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their ...

Calculus - Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their ...

Algebra - Simplify: 5(cube root of 16) + 2(cube root of 54) 5 times the cube ...

Algebra - Could you please help me with some math problems? Thanks! Add or ...

Inter. Algebra - Count Iblis how do you simplify 3square root sign with this ...

Math PLEASE HELP ASAP - -PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT ...

Algebra - I need help on these kinds of radical problems. Once I get the ...

Math simplifying mixed radicals - Please help me simplify these following mixed ...

Math - i see were u got that from but this 1 is confusing. 6 (index 3) square ...

math - What does it mean to have the sqaure root of 5 with a 2 in front of it? ...