Question

Find the cube root of the following by using prime factorisation.

i) 27000

ii) 91125

iii) 13824

iv) 21952

v) 17576

vi) 857375​

Answer 1

Answer:

i) 27,000 cube root is 30

ii) 91125 cube root is 45

iii) 13824 cube root is 24

iv) 21952 cube root is 28

v) 17576 cube root is 26

vi) 857375​ cube root is 95

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Answer 2

Answer:

45

Step-by-step explanation:

(i) 64=2×2×2×2×2×2= 2

3

×2

3

=4

3

3

64

=4

(ii) 512=2×2×2×2×2×2×2×2×2×2×2×2

= 2

3

×2

3

×2

3

=8

3

3

512

=8

(iii) 10648= 2

3

×11

3

=22

3

3

10648

=22

(iv) 27000= 2

3

×3

3

×5

3

=30

3

3

27000

=30

(v) 15625= 5

3

×5

3

=25

3

3

15625

=25

(vi) 13824= 2

3

×2

3

×2

3

×3

3

=24

3

3

13824

=24

(vii) 110592= 2

3

×2

3

×2

3

×2

3

×3

3

=48

3

3

110592

=48

(viii) 46656= 2

3

×2

3

×3

3

×3

3

=36

3

3

46656

=36

(ix) 175616= 2

3

×2

3

×2

3

×7

3

=56

3

3

175616

=56

(x) 91125= 5

3

×3

3

×3

3

=45

3

3

91125

=45