More help on square roots of fractions...?

Question

So if say problem b is The sqr of 9/27, then is the answer 1 times the sqr of 3/3????? Ug i'm so confused and not quite sure if I did this right. Can someone tell me if it's right? (my math notes aren't much help)

Answer 1

I have difficulty understanding your problem.

b = √(9/27) is that it?

b = √(1/3)

b = √3/3  <<< answer

1 times the sqr of 3/3 = 1*1 = 1

.

Answer 2

Let me get this right, you want to find out the square root of:

√(9/27)

Well we can cancel this down to:

√(1/3)

To give us:

..1..

------

√3

And then we can rationalize the denominator. So we multiply both parts of the fraction to get rid of the surd denominator, to get:

√3

-----

.3.

And that's our answer.