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making use the cube root table find the cube roots of the following correct to three decimal places(vii) 54/343
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Given : 54/343
To find : cube roots of the following correct to three decimal places
Solution:
54/343
54 = 2 * 3 * 3 * 3 = 2 * 3³
343 = 7 * 7 * 7 = 7³
54/343 = 2 * 3³ / 7³
∛(54/343) = ∛(2 * 3³ / 7³)
= (3/7) ∛ 2
∛ 2 = 1.26
= (3/7) 1.26
= 3 * 0.18
= 0.54
∛(54/343) = 0.54
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