Question

Find the cube root of the following using prime factorization:

i)5832 ii)15625 iii) 91125

PLEASE GIVE A STEP BY STEP ANSWER

Answer 1

Answer:

i) 5832=2×2×2×3×3×3×3×3×35832=2×2×2×3×3×3×3×3×3

5832=(2×2×2)×(3×3×3)×(3×3×3)5832=(2×2×2)×(3×3×3)×(3×3×3)

5832−−−−√3=2×3×358323=2×3×3

5832−−−−√3=18

ii) 15625 = 5 x 5 x 5 x 5 x 5 x 5

= 5³x 5³

³15625 = 5×5=25

iii) 91125 = 5³ x 3³ x 3³

√91125 = 5×3×3=45

Step-by-step explanation:

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