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Question

Find the cube-roots of:

(i) -216 (ii) -512 (iiii) -1331

(iv) 27125 (v) 64343 (vi) 512343

(vii) -2197 (viii) -5832 (ix) -2744000

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Solution

(i)216=3216=6×6×6=6(ii)512=3512=8×8×8=8(iii)1331=31331 =11×11×11=11(iv)27125=27216=3×3×35×5×5=35(v)64343=3643343=34×4×437×7×7=47(vi)512343=3512343=38×8×87×7×7=87(vii)2197=32197

313×13×13=13

(viii)5832=35832

2×2×2×3×3×3×3×3×3=2×3×3=18

(ix)2744000=32744000

2×2×2×7×7×7×10×10×10=2×7×10=140


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