Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, the way you wrote the number is the standard form for your example.
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The ratio of 338 to 382 in its simplest form is 169 to 191
3.38 = 338/100 = 169/503.38 = 338/100 = 169/503.38 = 338/100 = 169/503.38 = 338/100 = 169/50
sqrt(338) = sqrt(2*169) = sqrt(2)*sqrt(169) = 13*sqrt(2)
c - 338 = 238 + 338 +338 c = 576
168.0296