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Secondary 1 | Maths
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SonBooster
SonBooster

Secondary 1 chevron_right Maths chevron_right Singapore

Don’t really understand the question. Expect detailed explanations how the answer is being figured out. Thanks.

Date Posted: 2 months ago
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Natasha Ang
Natasha Ang's answer
91 answers (Tutor Details)
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Analyse the prime factors of 2750. For 2750/k to be a perfect cube, the exponents of all prime factors in its prime factorisation must be multiples of 3.

To make the exponent of 2 and 11 a multiple of 3, we need to remove 2^1 and 11^1. Since 5^3 is already a multiple of 3, no need to include it in k.

Thus, to make 2750/k a perfect cube, k should be 2 x 11 = 22.