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astraxan [27]
3 years ago
10

Rationalize the denominator 2/root 3 - 1​

Mathematics
2 answers:
antoniya [11.8K]3 years ago
5 0

Answer:

Step-by-step explanation:

xz_007 [3.2K]3 years ago
4 0

\frac{2}{ \sqrt{3} - 1 }  \\  \frac{2}{ \sqrt{3 }  - 1}  \times  \frac{ \sqrt{3}  + 1}{ \sqrt{3}  + 1}  \\  \frac{2 \times ( \sqrt{3}  + 1)}{( \sqrt{3}  - 1)( \sqrt{3 }  + 1) }  =   \frac{2 \sqrt{3}  + 2}{( \sqrt{3} )^{2} -  {1}^{2}   }   \\  \frac{2 \sqrt{3} + 2 }{3 - 1}   =  \frac{2 \sqrt{3} + 2 }{2}  =  \frac{2( \sqrt{3}  + 1)}{2}  \\  \sqrt{3 } + 1  = 1.732  +1  = 2.732

<h3>Or </h3>

\frac{2}{ \sqrt{3 - 1} }  \\  \frac{2}{ \sqrt{2} }  \times   \frac{ \sqrt{2} }{ \sqrt{2} }  =  \frac{2 \sqrt{2} }{( \sqrt{2} ) ^{2} }  =  \frac{2 \sqrt{2} }{2}   \\  \sqrt{2}  = 1.4142

I hope I helped you^_^

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Answer:

3) 16π cm²

4) 240.625 cm²

Step-by-step explanation:

<em>3. For this problem I'm going to use the formula Area = π × r²</em>

<em>To start off, I'm going to input our value of radius which is 4cm.</em>

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<em>Finally, I'm going to square our value "4"</em>

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<em>(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be </em>about 50.24 cm²

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<em>To begin, I will divide our diameter by 2 to find the radius.</em>

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<em>Next, we are going to square our now, radius.</em>

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<em>Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)</em>

76.5625 × 22/7 = 240.625 cm²

<em>So! This is our final answer!</em>

<em />

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer. </em>

-SGO

3 0
3 years ago
Laguna del carbon, a salt lake located in. Argentina, lies 344 feet below sea level. El alto, Bolivia, is located approximately
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Answer:

The difference in elevation between Laguna del Carbon and El Alto is 12,656 feet.

Step-by-step explanation:

Given that Laguna del carbon, a salt lake located in Argentina, lies 344 feet below sea level, while El Alto, Bolivia, is located approximately 13,000 feet above sea level, to determine what is the difference in elevation between Laguna del Carbon and El Alto, the following calculation must be performed:

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