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Using prime factorisation, find the cube root of the product $343 \times 1000$ .

Class 8Cube Root by Prime FactorisationCubes and Roots

A70
B700
C37
D100

Step-by-Step Solution

343 =

7^{3}

and

1000 = 1 0^{3}

. Cube root of

(343 \times 1000) =

cube root(343)

x

cube root(1000) =

7 \times 10 = 70

.

Answer: A) 70

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