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21-02-2022
Mathematics

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Radically reduce square root of 243

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Аноним Аноним

21-02-2022

Answer: 9sqrt(3)

Step-by-step explanation:

First, we can prime factorize 243.

243 = 3^5

Therefore we are computing the square root of 3^5

3^5 = 3^4 * 3^1; 3^4 = (3^2)^2

Therefore, sqrt(3^5) = sqrt((3^2)^2))*3^1)

= 3^2*sqrt(3)

= 9sqrt(3)

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