Calculate the value of 3√216 by using prime factors

Astik Anand asked Jul 10, 2022

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14 votes

Calculate the value of 3√216
by using prime

factors

Astik Anand asked Jul 10, 2022

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26 votes

Answer: 43,2

Explanation:

$\bf 3√(216 )=3\cdot 6√(6)=18√(6) \approx43.2 \\\\ √(216) =\sqrt{ 2^(3)\cdot 3^3}=√(2^2\cdot 3^2\cdot 3\cdot 2)=3\cdot 2√(3\cdot 2) =6√(6)$

Tom Squires answered Jul 14, 2022

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