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$\\sqrt3{512} = \\square$

Question

$\sqrt3{512} = \square$

Explanation:

Step1: Factor 512 into primes

$512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^9$

Step2: Simplify the cube root

$\sqrt[3]{2^9} = 2^{\frac{9}{3}} = 2^3$

Step3: Calculate the final value

$2^3 = 8$

Answer:

8