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How do you simplify √500?

Aniket Singh , 6 Months ago
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anser 1 Answers
Askiitians Tutor Team

To simplify √500, we start by breaking it down into its prime factors. First, we can express 500 as:

  • 500 = 100 × 5
  • 100 can be further simplified since it is a perfect square: 100 = 10 × 10

Now, we can rewrite √500 as:

√500 = √(100 × 5) = √100 × √5

Since √100 equals 10, we have:

√500 = 10√5

Thus, the simplified form of √500 is 10√5.

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