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yanalaym [24]
3 years ago
7

Which number produces an irrational number when added to 0.5?

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

<em><u>The</u></em><em><u> correct</u></em><em><u> answer</u></em><em><u> is</u></em><em><u> </u></em><em><u>square</u></em><em><u> </u></em><em><u>root</u></em><em><u> of</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>.</u></em>

Step-by-step explanation:

<em><u>Repeating</u></em><em><u> </u></em><em><u>decimals</u></em><em><u> </u></em><em><u>are</u></em><em><u> </u></em><em><u>rational</u></em><em><u> </u></em><em><u>,</u></em><em><u> </u></em><em><u>surprising</u></em><em><u> </u></em><em><u>enough</u></em><em><u> </u></em><em><u>.</u></em><em><u> </u></em><em><u>Fractions</u></em><em><u> </u></em><em><u>are </u></em><em><u>rational</u></em><em><u>.</u></em><em><u> </u></em><em><u>The </u></em><em><u>square</u></em><em><u> root</u></em><em><u> of</u></em><em><u> </u></em><em><u>1</u></em><em><u>6</u></em><em><u> </u></em><em><u>is </u></em><em><u>4</u></em><em><u>,</u></em><em><u> </u></em><em><u>which</u></em><em><u> </u></em><em><u>is </u></em><em><u>rational.</u></em>

<h3><em><u>Hope</u></em><em><u> this</u></em><em><u> helps</u></em><em><u> you</u></em><em><u> </u></em><em><u>!</u></em><em><u>!</u></em><em><u> </u></em><em><u>Have</u></em><em><u> a</u></em><em><u> great</u></em><em><u> day</u></em><em><u>.</u></em></h3>
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First off, you're going to end up with 2 answers.

Alright so you have:

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You'll want to multiply both sides by b²

You'll end up with:

48 =  \frac{750}{b^3}

Multiply both sides by b^5

Now you should have:

48b^5 = 750b^2

Subtract 750b^2 from both sides.

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Factor the left side of the equation:
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Your Answers:
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