已知lg2=0.3010,lg3等于0.4771,求lg根号下45?

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lg √45 = lg (45)^(1/2) = (1/2) * lg45 = (1/2) * lg (5 *9) = (1/2) * (lg5 + lg9) = (1/2) * [lg(10/2) + lg(3^2)] = (1/2) * (lg10 - lg2 + 2 * lg3) = (1/2) * (1 - lg2 + 2lg3) = (1/2) * (1 - 0.3010 + 2 * 0.4771) = (1/2) * 1.6532 = 0.8266