+0  
 
+2
72
7
avatar+1317 

Help me, please.

 

Radicals: Simplify or Reduce

 

√3/8

ManuelBautista2019  Apr 9, 2018
 #1
avatar+7073 
+2

Just to make sure....  Is this the expression in your question:

 

\(\sqrt\frac38\)

 

??   smiley

hectictar  Apr 9, 2018
 #2
avatar+604 
0

sqrt6/4

gueesstt  Apr 9, 2018
edited by gueesstt  Apr 9, 2018
edited by gueesstt  Apr 9, 2018
 #3
avatar+1317 
+2

yes it is

ManuelBautista2019  Apr 9, 2018
 #4
avatar+7073 
+2

Okay....

 

\(\ \quad\sqrt{\frac38}\\ =\\ \quad\sqrt{\frac38\cdot\frac88}\\ =\\ \quad\sqrt{\frac{24}{8^2}}\\ =\\ \quad\frac{\sqrt{24}}{\sqrt{8^2}}\\ =\\ \quad\frac{\sqrt{24}}{8}\\ =\\ \quad\frac{\sqrt{4\cdot6}}{8}\\ =\\ \quad\frac{\sqrt4\cdot\sqrt6}{8}\\ =\\ \quad\frac{2\cdot\sqrt6}{8}\\ =\\ \quad\frac{\sqrt6}{4}\)

 

 

BTW...

 

Whenever you use a radical, that is, this symbol:  √ 

it is a good idea to always include parenthesees after it, like this:  √( )

and then put all of the numbers that go under the radical in the parenthesees.

 

So for this expression it would be  √( 3/8 )  .

 

That way, there is no confusion.

 

Notice that the expression  √3/8  can also be interpreted as  \(\frac{\sqrt3}{8}\)  

(which would actually be the correct interpretation in this case).

 

smiley

hectictar  Apr 9, 2018
edited by hectictar  Apr 9, 2018
 #5
avatar+1317 
+1

Thank You!!!

ManuelBautista2019  Apr 9, 2018
 #6
avatar+1350 
+13

How old are you hectictar?

IAmJeff  Apr 9, 2018
edited by IAmJeff  Apr 9, 2018
 #7
avatar+1350 
+13

Hello hectictarcool

IAmJeff  Apr 9, 2018

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