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Nonamiya [84]
3 years ago
10

Select the correct answer.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator
zzz [600]

Answer:

B.

Step-by-step explanation:

To simplify something that looks like \frac{\text{whatever}}{\sqrt{a}-\sqrt{b}} you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

\sqrt{a}+\sqrt{b}.

If you had  \frac{\text{whatever}}{\sqrt{a}+\sqrt{b}}, then you would multiply top and bottom the conjugate of \sqrt{a}+\sqrt{b} which is \sqrt{a}-\sqrt{b}.

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens.  The middle terms cancel so you only have to really multiply the first terms and 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 all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of \sqrt{17}-\sqrt{2} is

\sqrt{17}+\sqrt{2}.

This is the thing we are multiplying and top and bottom.

3 0
3 years ago
Read 2 more answers
PLEASE I BEG SOMEONE TO HELP
boyakko [2]

Answer:

16 + 3n

Step-by-step explanation:

a = 19 ;  common difference = 22 - 19 = 3

a(n) = a + (n -1 ) *d

      = 19 + (n-1)*3

      = 19 + 3n - 3

      = 16 + 3n

4 0
2 years ago
9 hundred thousands equal how many tens
il63 [147K]
900,000=10*90,000

So there are 90,000 tens in 900,000.
5 0
3 years ago
Read 2 more answers
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the o
creativ13 [48]

This looks like an incomplete answer to me...

I cannot see any diagram or window or opening, or any lines that indicate they are line AC or BD.

4 0
3 years ago
Log 16 1 = x solve for x
Helga [31]

Answer:

x = Log(16)

Simplify both sides of the expression by isolating the variable.

8 0
1 year ago
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