1
Question
Find the cube-roots of:
(i) -216 (ii) -512 (iiii) -1331
(iv) −27125 (v) −64343 (vi) −512343
(vii) -2197 (viii) -5832 (ix) -2744000
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=3√−216=√−6×−6×−6=−6(ii)−512=3√−512=√−8×−8×−8=−8(iii)−1331=3√−1331 =√−11×−11×−11=−11(iv)−27125=−√27√216=√3×3×35×5×5=−35(v)−64343=3√−643√343=3√−4×−4×−43√7×7×7=−47(vi)512343=−3√512343=−3√8×8×87×7×7=−87(vii)−2197=−3√−2197
−3√−13×−13×−13=−13
(viii)−5832=−3√−5832
√−2×−2×−2×−3×−3×−3×−3×−3×−3=−2×−3×−3=−18
(ix)−2744000=−3√−2744000
√−2×−2×−2×−7×−7×−7×−10×−10×−10=−2×−7×−10=−140
(i)−216=3√−216=√−6×−6×−6=−6(ii)−512=3√−512=√−8×−8×−8=−8(iii)−1331=3√−1331 =√−11×−11×−11=−11(iv)−27125=−√27√216=√3×3×35×5×5=−35(v)−64343=3√−643√343=3√−4×−4×−43√7×7×7=−47(vi)512343=−3√512343=−3√8×8×87×7×7=−87(vii)−2197=−3√−2197
−3√−13×−13×−13=−13
(viii)−5832=−3√−5832
√−2×−2×−2×−3×−3×−3×−3×−3×−3=−2×−3×−3=−18
(ix)−2744000=−3√−2744000
√−2×−2×−2×−7×−7×−7×−10×−10×−10=−2×−7×−10=−140
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