Simplifying negative radicands

Simplifying negative radicands

by Karine Ptak

​Let's do it again...

​Yesterday, you solved quadratic equations in vertex form or in standard form with b=0

Open Ended

For which x-values does the previous equation hold true?

​We need the help of a new type of number

​Here's how it works...

​Here's how it works...

Fill in the Blanks

You try!   $\sqrt[]{-25}$  simplifies as

Multiple Choice

$$\sqrt[]{-28}$$  

• $$i\sqrt[]{28}$$  

• $$-2\sqrt[]{7}$$  

• $$2i\sqrt[]{7}$$  

• $$4i\sqrt[]{7}$$  

​You will encounter these imaginary units while solving equations such as...

​Let's solve one as an example...

Multiple Choice

Time to put things together!

What are the solutions to  $$x^2+16=0$$  

• $$-4$$  

• $$4$$  

• $$\pm4$$  

• $$\pm4i$$  

Multiple Choice

Time to put things together!

What are the solutions to  $$\left(x+3\right)^2+16=0$$  

• $$-7$$  

• $$1$$  

• $$-3\pm4$$  

• $$-3\pm4i$$  

​Need another example?

​Check out the videos on the right for additional instructions. Or, come see me!

​

​Your practice is on ALEKS: Simplify negative radicands.