Question

difference of two perfect cube is 189. If the cube root of smaller of two numbers is 3 find the cube root of larger number

Answer 1

Answer:

larger number is 216

it's cube root is 6

Step-by-step explanation:

let the larger number be x

let the smaller number be y

$x - y = 189 \\ \sqrt[3]{y} = 3 \\ {y}^{ \frac{1}{3} } = 3 \\ cube \: on \: both \: sides \\ {( {y}^{ \frac{1}{3} }) }^{3} = {3}^{3} \\ y = 27 \\ x - y = 189 \\ x - 27 = 189 \\ x = 189 + 27 \\ x = 216 \\ \sqrt[3]{216} = \sqrt[3]{6 \times 6 \times 6} \\ \sqrt[3]{216} = 6$

hope you get your answer