Given that $5.8^2=33.64$ and $5.9^2=34.81$, which is the better estimate of $\sqrt{34}$ correct to one decimal place?

Pair digits from the **decimal point outward** — that is, leftward for the integer part, rightward for the decimal part. Add zeros on the right of the decimal as needed to make full pairs.

Example: $\sqrt{0.0625}$. Pair: .06 25. The integer part is empty. Apply long division on the paired form. Result: 0.25 (since $0.25^2=0.0625$).