This problem is from topology by munkres book. Need ideas to solve this.
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1Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or closed. To prevent that, please [edit] the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers. – José Carlos Santos Mar 20 '21 at 09:06
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In essence: a disjoint sum of metric spaces is metrisable. – Henno Brandsma Mar 20 '21 at 10:12