Question

Find the cube root of the following by prime factorisation.
(iii) 216000
(iv)
21952
cind the cube root of the following integers.​

Answer 1

Answer:

216000 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5 * 5

216000 = 2³ * 2³ * 3³ * 5³

216000 = 4³ * 3³ * 5³

216000 = 60³

Cube root of 216000 is 60.

21952 = 2 * 2 * 2 * 2 * 2 * 2 * 7 * 7 * 7

21952 = 2³ * 2³ * 7³

21952 = 4³ * 7³

21952 = 28³

Cube root of 21952 is 28.

Step-by-step explanation:

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