Question

Difference of two numbers, which are perfect cubes, is 189. If the cube root of the
smaller of the two numbers is 3, find the cube root of the larger number​

Answer 1

Answer:

6

Step-by-step explanation:

Let the larger number be X

and smaller number be Y

According to first condition,

X - Y = 189

according to second condition ,

Therefore.

$\sqrt[3 ]{y} \: = 3$

Therefore.

$y = {3}^{3}$

Y = 27

therefore Y = 27

put Y = 27 in X - Y = 189

therefore X - 27= 189

X = 189 + 27

X = 216

therefore cube root of larger number

=

$\sqrt[3]{x} = \sqrt[3]{216}$

therefore

$\sqrt[3]{216 } = 6$

therefore the answer is 6

Answer 2

Difference of two perfect cubes =189

The cube root of the smaller of the two no:s =3

The cube of the smaller of the two numbers =3³=27

Let the other number =x

To given condition

i.e x³=27=189

=x³=189+27

X³=216

X³=6³

Then, the cube root of the greater of the two number =6