+0

# Help me, please.

+2
358
7

Radicals: Simplify or Reduce

√3/8

Apr 9, 2018

#1
+2

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

$$\sqrt\frac38$$

?? Apr 9, 2018
#2
0

sqrt6/4

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

yes it is

Apr 9, 2018
#4
+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). Apr 9, 2018
edited by hectictar  Apr 9, 2018
#5
+1

Thank You!!!

Apr 9, 2018
#6
+13

How old are you hectictar?

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

Hello hectictar Apr 9, 2018