Find the smallest possible integer value of k for which 264k is a perfect square.

Mathematics

2 answers:

m_a_m_a [10]3 years ago

5 0

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.

wolverine [178]3 years ago

3 0

Step-by-step explanation:

264k

= 2³ * 3 * 11 * k

Hence, k = 2 * 3 * 11 = 66.

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