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2V10,000

Simplify the radical someone please. I need to understand this. I try but just can’t get the his topic.

2 Answers

6 votes

2√10000 = 2√100² = 2×100 = 200

User Alessa
by
5.3k points
2 votes

Explanation:


2 √(10000) \\ = 2 \sqrt{ {10}^(4) } \\ = 2( {10}^(4) )^{ (1)/(2) } \\ = 2 {10}^{4 * (1)/(2) } \\ = 2 * {10}^(2) \\ = 2 * 100 \\ = 200 \\ \\ direct \: method : \\ 2 √(10000) = 2 * 100 = 200

User Tuncay
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4.8k points