3 years ago

Is the simplified form of 2 square root of 3 times square root of 12 rational?

Mathematics

1 answer:

abruzzese [7]3 years ago

5 0

The simplified form of the equation given is 4 times square root of 3. It is rational.

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Any help? Much appreciated

natulia [17]

Answer:

$\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3}) }{13} = \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18$

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3 years ago

Lucia surveyed the students in her class and made a dot plot of the results. What question could Lucia have asked?

kolezko [41]

Answer:

How many days do you exercise in a week?

Step-by-step explanation:

The topic is students' weekly exercise so the question has to be about that. also, there are up to 7 days worth of data and there a 7 days in a week. so she most likely asked the question, "How many days do you exercise in a week?".

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4 years ago

What is the measurement of the third angle of a triangle if the first two angles measure 63 degrees and 87 degrees?

kherson [118]

Answer:

Step-by-step explanation:

trey

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3 years ago

Read 2 more answers

Which graph correctly represents this 2y+x=-5and y+3x=0

meriva