(34.4)8 × (23.4)8 evaluates to:

Solution: Multiply the two base‑8 numbers by converting to decimal, multiplying, and converting the result back to base 8.

1. Convert each number to decimal: (34.4)8 = 3×8 + 4 + 4/8 = 28.5; (23.4)8 = 2×8 + 3 + 4/8 = 19.5.

2. Multiply the decimal values: 28.5 × 19.5 = 555.75.

3. Convert 555.75 back to base 8:

   • Integer part: 555 ÷ 8 gives remainders 3, 5, 0, 1 (from least to most significant), so the integer part is 1053 in base 8.

   • Fractional part: 0.75 × 8 = 6.0, so the fractional part is .6 in base 8.

Therefore the product is (1053.6)8.