Question

ok I have (fractions and radicals) radical 5 over 6 and I need to get it to its simplified radical form

Answer 1

\[\sqrt{\frac{ 5 }{ 6 }}\]

Answer 2

Simplest terms in this case means to rationalize the denominator (or in plain english - remove the radical from the denominator).

Answer 3

Well I mean I need to know how! haha

Answer 4

Multiplying a fraction by 1 doesn't change it's value. You can multiply the fraction by anything you want as long as the numerator equals the denominator.

Answer 5

\(\sqrt6 \times \sqrt6 = 6\)

Answer 6

Im so confused

Answer 7

Give me about 10 minutes. First aid issue here at home.

Answer 8

no prob

Answer 9

Ok. back again. Poison ivy boy was scratching..... :-(

Answer 10

Your fraction can be re-written as \(\dfrac{\sqrt5}{\sqrt6}\). In order to rationalize the denominator, you need to multiply the denominator by something to eliminate the square root.

Answer 11

As I said earlier, when you multiply a fraction (or any term) by 1, it does not change the value. 1 can look like many different things: \(1=\dfrac{n}{n}\) or \(\dfrac{\sqrt x}{\sqrt x}\). As long as you multiply both the top and bottom of the fraction by the same thing, it will not change the value of the fraction.

Answer 12

If you multiply the fraction by the square root in the denominator, you will end up with a rationalized fraction.

Answer 13

That's a lot to take in, so let me know when you get back. :-)