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How do you simplify: square root of 20?

Aniket Singh , 7 Months ago
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Askiitians Tutor Team

To simplify the square root of 20, you can break it down into its prime factors. The number 20 can be expressed as:

  • 20 = 4 × 5
  • 4 is a perfect square (2 × 2).

Now, you can rewrite the square root of 20 using this factorization:

√20 = √(4 × 5)

Next, apply the property of square roots that allows you to separate the factors:

√20 = √4 × √5

Since the square root of 4 is 2, you can simplify further:

√20 = 2√5

Thus, the simplified form of the square root of 20 is 2√5.

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