Multiplication of Radicals

Same Index

When multiplying radicals with the same index, the radicands are multplied and the index remains the same.

Multipliying Radicals

Multipliying Radicals

Multipliying Radicals

Different Index

First, reduce to a common index and then multiply.

1.The common index is the least common multiple of the indices.

2.Divide the common index by each of the indices and each result is multiplied by their corresponding exponents.

Common Index

Common Index

Common Index

Common Index

Examples

Different Index Multiplication

Different Index Multiplication

Different Index Multiplication

Different Index Multiplication

Different Index Multiplication

Multipliying Radicals