An algebra problem by Brijo Skylite

Algebra Level 1

What is the cube root of (-1)?

-i 1 i -1

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3 solutions

The solution is pretty simple though.

1 3 = 1 1 1 3 ( S i n c e , 1 1 1 = 1 ) 1 3 = 1 \sqrt [ 3 ]{ -1 } \quad =\quad \sqrt [ 3 ]{ -1*-1*-1 } (Since,\quad -1\quad *\quad -1\quad *\quad -1\quad =\quad -1)\\ \sqrt [ 3 ]{ -1 } \quad =\quad -1

Arulx Z
Aug 17, 2015

1 3 = 1 \sqrt [ 3 ]{ -1 } =-1

Other are non-real.

Reza Nik
Aug 8, 2015

I didn't saw any easier problem than it before.

(-1)^3= -1 -1 -1= -1

You have CUBED -1, not CUBE ROOTED it, fortunately for you, the answer was the same in both cases.

Yashwanth Manivannan - 5 years, 10 months ago

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