Notes/Homework Quiz - Dividing Radicals

What's the current status of your homework #13 - 24

• There was homework?

• I have only done the ODDS (notes)

• I have done the odds and a couple of the evens.

• I am so lost I don't know where to start.

Tags

CCSS.6.NS.B.3

True or False, You can simplify

 $\sqrt{\frac{15}{3}}$  

• True

• False

True or False, You can simplify

 $\frac{\sqrt{15}}{3}$ 

• True

• False

True or False:

 $\sqrt{2}=2$  

• True

• False

Tags

CCSS.8.NS.A.1

Simplify

 $\frac{3}{\sqrt{2}}$  

•  $\frac{3}{4}$  

•  $\frac{2\sqrt{3}}{3}$  

•  $\frac{3\sqrt{2}}{2}$  

•  $2\sqrt{3}$  

Squaring a square root will UNDO it because they are __________ operations.

 $\left(\sqrt{5}\right)^2=5$  

Tags

CCSS.8.EE.A.2

Select 3 steps to simplify the radical.

• $\frac{2}{2}=1$ Divide/Cancel the 2's
  

• Evaluate $\sqrt{\frac{1}{4}}=\frac{\sqrt{1}}{\sqrt{4}}=\frac{1}{2}$

• The answer is $\frac{2}{4}$

• Combine and simplify $\frac{\sqrt{3}}{\sqrt{12}}=\sqrt{\frac{3}{12}}=\sqrt{\frac{1}{4}}$

Tags

CCSS.HSN.RN.A.2

Simplify the radical by rationalizing the denominator. Show your work using the f(x) Math button.

Tags

CCSS.HSN.RN.A.2

 $\sqrt{3}\left(\sqrt{3}\right)=\sqrt{9}=\ ?$  

Which of the following shows the correct steps to simplify the radical.

•  $\sqrt{\frac{5}{15}}\left(\frac{\sqrt{15}}{\sqrt{15}}\right)\ =\frac{\sqrt{5\cdot15}}{\sqrt{15\cdot15}}=\frac{\sqrt{75}}{15}=\frac{\sqrt{25\cdot3}}{15}=\frac{5\sqrt{3}}{15}=\frac{\sqrt{3}}{3}$  

•  $\sqrt{\frac{5}{15}}=\sqrt{\frac{1}{3}}\ =\frac{\sqrt{1}}{\sqrt{3}}\times\left(\frac{\sqrt{3}}{\sqrt{3}}\right)\ =\frac{\sqrt{3}}{3}$  

• Both are correct

Answer explanation

Although there is a faster and slower way both are correct. $\sqrt{\frac{5}{15}}=\sqrt{\frac{1}{3}}\ =\frac{\sqrt{1}}{\sqrt{3}}\times\left(\frac{\sqrt{3}}{\sqrt{3}}\right)\ =\frac{\sqrt{3}}{3}$