Add, Subtract and Multiply Radicals

Add, Subtract and Multiply Radicals

Fill in the Blank

To add or subtract radicals you must _______ ____ _____

Multiple Choice

 $2\sqrt{3}+5\sqrt{3}=\$  

•  $10\sqrt{9}$  

•  $10\sqrt{3}$  

•  $7\sqrt{3}$  

•  $7\sqrt{6}$  

Multiple Choice

 $4\sqrt{5}\ -\ 2\sqrt{5}=$  

•  $2\sqrt{0}$  

•  $2\sqrt{5}$  

•  $6\sqrt{5}$  

•  $8\sqrt{25}$  

Multiple Choice

 $4\sqrt{7}\ +\ 5\ +\ 8\sqrt{7}\ -\ 4$  

•  $12\sqrt{7}\ +1$  

•  $12\sqrt{7}-1$  

•  $-4\sqrt{7}\ +1$  

•  $32\sqrt{7}\ -\ 20$  

Multiple Choice

 $4\sqrt{2}-\ 3\sqrt{5}\ +\ 3\sqrt{2}\ -\ 2\sqrt{5}$  

•  $2\sqrt{7}$  

•  $7\sqrt{2}+5\sqrt{5}$  

•  $7\sqrt{2}-5\sqrt{5}$  

•  $12\sqrt{4}+15\sqrt{25}$  

Fill in the Blank

To multiply radicals, you multiply ________ numbers together and ______ numbers together.

Multiple Choice

 $3\sqrt{3}\times2\sqrt{7}$  

•  $5\sqrt{10}$  

•  $6\sqrt{10}$  

•  $5\sqrt{21}$  

•  $6\sqrt{21}$  

Multiple Choice

 $9\sqrt{6}\times4\sqrt{7}$  

•  $36\sqrt{42}$  

•  $13\sqrt{42}$  

•  $13\sqrt{13}$  

•  $36\sqrt{13}$  

Multiple Choice

 $3\sqrt{5}\times2\sqrt{2}$  

•  $5\sqrt{7}$  

•  $6\sqrt{10}$  

•  $5\sqrt{10}$  

•  $6\sqrt{7}$  

Multiple Choice

 $9\sqrt{11}\times\sqrt{3}$  

•  $9\sqrt{11}$  

•  $27\sqrt{11}$  

•  $99\sqrt{3}$  

•  $9\sqrt{33}$  

Poll

Can you tell when you are to add, subtract or multiply

• yes, add or subtract when the terms are separated by addition and subtraction signs and multiplication has no sign or an x

• no, I do not know when the problem wants me to add, subtract or multiply

• sometimes I can tell, but other times I am confused

Multiple Select

Which expressions are addition or subtraction?

• $3\sqrt{13}+\ 2\sqrt{3}-5\sqrt{13}$

• $4\sqrt{3}\times8\sqrt{5}$

• $3\sqrt{2}\times8\sqrt{6}\times9\sqrt{3}$

• $10\sqrt{23}-3\sqrt{11}+6\sqrt{11}$

Multiple Select

Which expressions are multiplication?

• $8\sqrt{2}+3\sqrt{7}-10\sqrt{5}$

• $8\sqrt{2}\times3\sqrt{7}\times10\sqrt{5}$

• $15\sqrt{3}+11\sqrt{8}-21\sqrt{3}$

• $4\sqrt{17}\times3\sqrt{2}\times\sqrt{11}$

Multiple Choice

 $7\sqrt{7}+2\sqrt{3}+7\sqrt{3}-5\sqrt{7}$  

Simplify

•  $2\sqrt{7}+9\sqrt{3}$  

•  $14\sqrt{21}-35\sqrt{21}$  

•  $2\sqrt{7}+9\sqrt{3}$  

•  $-2\sqrt{7}+9\sqrt{3}$  

Multiple Choice

 $3\sqrt{3}\times2\sqrt{5}\times\sqrt{2}$  

Simplify

•  $6\sqrt{30}$  

•  $5\sqrt{10}$  

•  $5\sqrt{30}$  

•  $6\sqrt{10}$