Find the smallest possible integer value of k for which 264k is a perfect square.
2 answers:
Answer:
k = 66.
Step-by-step explanation:
Find the prime factors of 264
264 = 2 * 2 * 2 * 3 * 11
The nearest perfect square will contain one more 2, one more 3 and one more 11
= 264 * 2 * 3 * 11
= 17424.
Step-by-step explanation:
264k
= 2³ * 3 * 11 * k
Hence, k = 2 * 3 * 11 = 66.
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