To simplify something that looks like

*
you would multiply the top and also bottom by the conjugate the the bottom. So you multiply the top and also bottom for this difficulty I simply made by:

*
.

You are watching: Multiplying by which fraction will produce an equivalent fraction with a rational denominator?

If you had

*
, climate you would certainly multiply top and bottom the conjugate the
*
i beg your pardon is
*
.

The conjugate the a+b is a-b.

These have a term because that it because when you multiply them something distinct happens. The middle terms release so girlfriend only have to really main point the first terms and also the last terms.

Let"s see:

(a+b)(a-b)

I"m going to use foil:

First: a(a)=a^2

Outer: a(-b)=-ab

Inner: b(a)=ab

Last: b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so every you had actually to do was the "first" and "last" of foil.

This would remove square root if a and b had actually them because they are being squared.

Anyways the conjugate the

*
is

*
.

This is the thing we space multiplying and also top and bottom.


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omeli <17>8 months ago
3 0

For this case we have the following expression:

*

We have to rationalize the expression, so we multiply by:

*

So, we have:

*

Thus, the correct alternative is alternative B.

rebab.net:

OPTION B


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