Convert the binary number 10112 to decimal.

Step 1: Check if 10112 is even.
$10112 \div 2 = 5056$

Step 2: Check if 5056 is even.
$5056 \div 2 = 2528$

Step 3: Check if 2528 is even.
$2528 \div 2 = 1264$

Step 4: Check if 1264 is even.
$1264 \div 2 = 632$

Step 5: Check if 632 is even.
$632 \div 2 = 316$

Step 6: Check if 316 is even.
$316 \div 2 = 158$

Step 7: Check if 158 is even.
$158 \div 2 = 79$

Step 8: 79 is a prime number (not divisible by 2, 3, 5, or 7).
Prime factorization:
$10112 = 2^7 \times 79$

Step 9: Rewrite for square root.
$\sqrt{10112} = \sqrt{2^7 \times 79} = \sqrt{2^6 \times 2 \times 79} = \sqrt{(2^3)^2 \times 158}$

Step 10: Simplify.
$\sqrt{10112} = 2^3 \sqrt{158} = 8\sqrt{158}$

8\sqrt{158}