6. Estimate the cube root of the following correct up to two decimal places.
(a) 260
(b) 89.5
(c) 125 x 63
(e) 3375
(1) 68921
(g) 300763
(h) 15.625
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Answer:
Step-by-step explanation:
(e) 3375
lets make two group
3 & 375
375 ends with 5 so unit digit will be 5
now
1³ = 1 & 2³ = 8
3 lies between 1 & 8
so √3375 should be ≈ 15
68921
921 ends with 1 so unit digit will be 1
68 lies between 64 (4³) & 125 (5³)
Hence 41 is ∛68921
300763
763 end with3 so unit digit would be 7
300 lies between 216 (6³) & 343 (7³)
hence 67 = ∛300763
15.625 = 15625 /1000
625 ends with 5 so unit digit will be 5
15 lies between 8 (2³) & 27 (3³)
hence ∛15625 = 25
1000 cube root = 10
hence ∛15,625 = 25/10 = 2.5
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Answer:
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