Primes, HCF and LCM - Prime Factorisation and Its Applications

Primes, HCF and LCM - Prime Factorisation and Its Applications

Secondary 1
  1. Find the smallest positive integer \(k\) such that \(180k\) is a perfect square. State the resulting square number.

  2. Find the smallest positive integer \(k\) such that \(90k\) is a perfect cube. Find the cube root of the resulting number.

Solution:

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Answer:(a) \(k=5\); \(30^2\) (b) \(k=300\); \(30\)

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