Multiplying Radicals

Multiplying Radicals

by Lauren Wisehart

​Let's Review Simplifying

• ​Find the prime factorization of the radicand

• ​Find the pairs, and take them to the outside.

• ​Multiply the coeffiecients (outsdie)

• ​Multiply the radicands (inside)

Multiple Choice

Simplify √60

• 2√15

• 12

• 4√15

• 3√5

​Multiplying Radicals

• ​Multiply the coefficient*coefficient

• ​Multiply the radicand*radicand

• ​Simplify

​

​

​Thinks outside*outside then inside*inside

​Multiplying Radicals

• ​Multiply the coefficient*coefficient

• ​Multiply the radicand*radicand

• ​Simplify

​

​

​Thinks outside*outside then inside*inside

Multiple Choice

Simplify

Multiple Choice

Simplify

Multiple Choice

Simplify

• √5

• -3√6

• √6

• 6

​Multiplying by a polynomial

• ​Distirubute

• ​Then...

• ​Multiply the coefficient*coefficient

• ​Multiply the radicand*radicand

• ​Simplify

Multiple Choice

$$2\sqrt[]{5}\left(\sqrt[]{4}+2\sqrt[]{3}\right)$$  

• $$4\sqrt[]{5}+4\sqrt[]{15}$$  

• $$8\sqrt[]{20}$$  

• $$4\sqrt[]{5}$$  

• $$4\sqrt[]{20}+2\sqrt[]{15}$$