Question

if the difference of two perfect cube is 189.if the cube root of smaller no is 3find the cube root of larger no

Answer 1

Hi there!
Here's the answer:

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Let smaller No. be y
and the greater be x

Given,
Cube root of smaller No. = 3
=> ³√y = 3
Curbing on both sides
=> y = 3³
=> y = 27

Now,
The difference of perfect cube is 189
=> x - 27 = 189
=> x = 27 + 189
=> x = 216

•°• The greater No. = 216

•°• ³√x = ³√216 = 6

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Hope it helps