need help with math?

Question

I'm working on a math problem and there is a step that involves a number outside of the radical and in the radical. How do I simplify this? Example 3/3 (/ being the radical)

Answer 1

something like 3/*3 can't really be simplified. but it can be changed into something more complicated. 3 is rad 3 squared sorta by definition. so you can take the three out and replace it with rad3 times rad3. whatever the square root of 3 is, when you multiply that times itself you get 3. that's square roots. so 3rad3 is really 3 times rad3. or rad3 plus rad3 plus rad3 which you can also obtain by replacing the 3 with rad3 times rad3. this is a very rare example because in this case 3 times rad3 is rad3 plus rad3 plus rad3 but coincidently this equals rad3 times rad3 times rad3 or rad3 cubed. this also happens with the integers where 2 plus 2 is the same as 2 times 2. it doesn't happen too often

rad is short for radical which is the same thing as square root. rad3 is the square root of 3

now, normally, a math problem would ask you to simplify. like take the square root of 12. or rad12. well it's a property of square roots that when you can factor the number inside the radical, in this case, you can factor 12 into 3 and 4 cause 3 times 4 is 12. so rad12 is also rad3 times rad4. and we know rad4 is 2. the square root of 4 is 2. the rad3 term cannot be simplified any further so rad12 is now 2rad3 or 2 times rad3.

but, do not make the mistake of thinking that 2 times rad3 is the same as rad3 times rad3 or rad3 squared.

Answer 2

You cannot simplify this any further. The reason is that the 3 inside the radical is a prime number and cannot be factored. When a number is factorable by a square such as 4, 9, 16, 25, etc., the square root goes outside the radical.

2/12 simplifies to 4/3 (using your symbol).

Answer 3

3√3 is the simplest radical. So you can't simplify it further.

If you can find a square inside, then you can simplify it further. For example,
9√18 = 9√[(3^2)(2)] = 27√2

Answer 4

first find the square root of the inside radical. Then multiply the answer by the outside radical.

Answer 5

You really need to know want to what the ratio of 3/3 is? come on...

Answer 6

I think you should go to a after school program or ask your teacher\for extra help.

Answer 7

1 is the answer

Answer 8

depends on the question, please post the original question you are working on.