square root division

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davinea

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[SPLIT] solve square root of a divided by 1 + square root of a

i have not done any algebra since the tenth grade and i forgot how to solve division on square roots.

how would you solve:

the square root of a divided by 1+ the square root of a

(sorry again for not being good with computers, i don't know how to put signs and things in)
 
Re: [SPLIT] solve square root of a divided by 1 + square root of

davinea said:
i have not done any algebra since the tenth grade and i forgot how to solve division on square roots.

how would you solve:

the square root of a divided by 1+ the square root of a

(sorry again for not being good with computers, i don't know how to put signs and things in)
Click to expand...

Please start a new topic (thread) with a new problem.

In the problem you posted:

a1+a\displaystyle \frac{\sqrt{a}}{1+\sqrt{a}}

There is no problem-statement - and no "=" sign - hence there is nothing to solve.

Please look at your problem and post the 'exact" problem.
 
solve square root of a divided by 1 + square root of a

i am not sure how to get the answer. would someone please help me. and just to let me know this is not my homework, its a sample question for a test and i would just like to know it is worked out. thanks in advance

the square root of a over 1+the square root of a = ?
 
Re: solve square root of a divided by 1 + square root of a

Is this it:

a1+a\displaystyle \frac{\sqrt{a}}{1+\sqrt{a}}?.

What is it you're supposed to do with it?. I see no equation to solve. You can long divide it to expand, but that's all I see to do with it.
 
Re: solve square root of a divided by 1 + square root of a

the question asks what it equals and the answer is:

the square root of a minus a over one minus a

and i don't know how to get to the answer, and i am sorry about not being able to make the equation on the computer, i don't know how to make square roots and stuff.
 
Re: solve square root of a divided by 1 + square root of a

multiply the numerator and the denominator by - the "conjugate" of the denominator:

In your problem the denominator is:

1 + a\displaystyle 1 \, + \, \sqrt{a}

it's conjugate is:

1 − a\displaystyle 1 \, - \, \sqrt{a}

so your expression becomes:

a1+a⋅1 − a1 − a\displaystyle \frac{\sqrt{a}}{1+\sqrt{a}} \cdot \frac{1 \, - \, \sqrt{a}}{1 \, - \, \sqrt{a}}

Now simplify....
 
Re: solve square root of a divided by 1 + square root of a

okay, thank you. i remember doing this type of thing last year but i just couldn't remember how to set it up. thank you for your help
 
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