·Using prime factorisation, find the cube roots of
(a)512
(b) 2197
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Answer:
CUBE ROOT OF a) 512 = 8.
&
b) 2197 =
Step-by-step explanation:
a) 512
BY PRIME FACTORISATION, WE GET
512 = 2 × 2 × 2 × 2 × 2× 2 × 2 × 2 × 2
NOW DIVIDE THEM INTO GROUPS,
512 = (2×2×2) × (2×2×2) × (2×2×2)
= 8 × 8 × 8
HENCE THE CUBE ROOT OF 512 IS 8.
b) 2197
BY PRIME FACTORISATION METHOD , WE GET
2197 = 13 × 13 × 13
HENCE THE CUBE ROOT OF 2197 IS 13.
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