Question

10x Radical 0.(8) x Radical 0,03(5)
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Answer 1

0,(8) = 8/9 => radical 0,(8) = radical (8/9) = radical (2^3/3^2) = (2 radical 2)/3

0,03(5) = (35-3)/900 = 32/900 => radical 0,03(5) = radical (32/900) = radical (2^5/2^2×3^2^5^2) = (4 radical 2)/30 = (2 radical 2)/15

10 × radical 0,(8) × radical 0,03(5) = 10 × (2 radical 2)/3 × (2 radical 2)/15 = )10 × 2 × 2 × 2) / 45 = 80/45 = 16/9