Concept:
Nucleotides join together in DNA and RNA chains through phosphate linkages.
Step 1: Understand bonding positions.
The phosphate group connects:
- $3'$ carbon of one sugar
- $5'$ carbon of next sugar
Step 2: Name of linkage.
Since one phosphate forms two ester bonds with two sugars, it is called:
\[
\text{Phosphodiester linkage}
\]
Step 3: Final answer.
\[
\boxed{\text{Phosphodiester}}
\]
Hence, correct option is (E).