samwoodsw95 samwoodsw95
  • 01-09-2021
  • Mathematics
contestada

Express (16^3)^1/2
in simplest radical form.

Respuesta :

46854297
46854297 46854297
  • 01-09-2021

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

Answer Link

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