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2 years ago

Somebody once told me the world is gonna roll me

Mathematics

2 answers:

nikdorinn [45]2 years ago

8 0

Answer:

same

Step-by-step explanation:

Murrr4er [49]2 years ago

4 0

Facts bro facts all the way man

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How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%

blondinia [14]

The trick is to exploit the difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

$(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2$

Whatever you do to the denominator, you have to do to the numerator too. So

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2$

Expand the numerator:

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}$

So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

But √12 = √(3•4) = 2√3, so

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}$

7 0

3 years ago

Select all expressions that are equivalent to 6x+1-(3x-1).

klio [65]

Answer:6x+1-3x-1

negative and negative= positive

3x+2

answer: 3x+2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Wanna hear something funny I have been asking questions about math all day but none of them have been answered like this is the

scZoUnD [109]

Answer:

lollllllll

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

alfonso makes $8 per hour working at movie theater and $12 per hour working at a restaurant. Next week Alfonso is scheduled to w

joja [24]

Alfonso will need to work 8 hours. What i did was multiply 8 by 6 which is 48 then subtracted 48 by 144 and got 96 then you divide that by 12 which is 8, and that is how many hours he will have to work.

4 0

3 years ago

How do I do this help me please

Dmitrij [34]

Answer:

The answer is 3x.

Step-by-step explanation:

I broke it down on paper.

3 0

2 years ago