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dmitriy555 [2]
3 years ago
14

Between which two integers is the positive value of the square root of 55?

Mathematics
2 answers:
saw5 [17]3 years ago
7 0

I believe its between the integers of 7 and 8.

Brut [27]3 years ago
3 0

Answer:

7 and 8

Step-by-step explanation:

√55 is in between 49 and 64. Get 49 and 64 squared and you will get 7 and 8.

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How do I solve this?
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I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:

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From here, we’ll factor out a -1 so that we have:

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Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:

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And adding back on the negative from a few steps earlier:

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