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Expressing in the form A+B SqrtC

Express these in the form A+B√C where A,B and C are rational.
1)
1 + 1
__ ___
√6 √216

I made √216 into √36√6, So I currently have:

1 + 1
__ ___
√6 √36√6

Is that the answer?
Can you find a common denominator and then you need to rationalise that denominator (multiply by66\frac{\sqrt 6}{\sqrt6}).
Reply 2
Avatar for TenOfThem
TenOfThem
18
No

That does not look anything like the correct form


I imagine that you know what root(36) is

And that you know how to add fractions

What would remain is the need to rationalise the denominator
Reply 3
Avatar for TwlilightLoz
TwlilightLoz
OP
1
I made the √36 into √6√6. I know have:

1 + 1
__ ___
√6 √6√6

so im now presuming the answer is
2
-
6?

EDIt = Relized that it isnt since that now the form of the answer. I really dont know how to do this >.<
(edited 11 years ago)
Reply 4
Avatar for TenOfThem
TenOfThem
18
Original post by TwlilightLoz
I made the √36 into √6√6. I know have:

1 + 1
__ ___
√6 √6√6

so im now presuming the answer is
2
-
6?

EDIt = Relized that it isnt since that now the form of the answer. I really dont know how to do this >.<


36=6\sqrt{36} = 6 so 366=66\sqrt{36}\sqrt{6} = 6\sqrt{6}


So you should have

16+166\frac{1}{\sqrt{6}} + \frac{1}{6\sqrt{6}}



Do you know how to rationalise denominators

Do you know how to add fractions
Reply 5
Avatar for TwlilightLoz
TwlilightLoz
OP
1
I know how to rationalise the denominator when theres only a fration, e.g.
\frac{1}{\sqrt{6}}
But i dont know how to rationalise 2 fractions with surds
Reply 6
Avatar for TenOfThem
TenOfThem
18
Original post by TwlilightLoz
I know how to rationalise the denominator when theres only a fration, e.g.
\frac{1}{\sqrt{6}}
But i dont know how to rationalise 2 fractions with surds


Then add the fractions so that you have 1 and then rationalise


OR


Rationalise each one separately and then add the fractions

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