Open Query 14

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course mth 151

10/20/20135:47pm

011. `Query 11

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Question: `qQuery (previously 1.4.24) 1 raised to to any power is what?

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Your solution:

it would always be one.

confidence rating #$&*: 3

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Given Solution:

`a** The meaning is 1^2, 1^3, 1^4. We take a power of the base.

The result is always 1. **

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Self-critique (if necessary):

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Self-critique Rating:

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Question: `qQuery (previously 1.4.30) What can you say about the square root of a negative number?

What can you say about the square of a negative number?

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Your solution:

it cant be squared by a neg number.

confidence rating #$&*: 3

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Given Solution:

`a** The square root of a negative will often give you an error (what can you square to get a negative, since any number squared is positive?), but on certain calculators it gives a complex number (actually two complex numbers). These are not real numbers; for the purposes of this course there is no real square root of a negative number.

There is no real number that can be squared to give a negative. If you square a negative number you get a negative times a negative, which is positive. If you square a positive number you get a positive number. So a negative number has no real square root. **

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Self-critique (if necessary):

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Self-critique Rating:

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Question: `qQuery (previously 1.4.30) What can you say about the square root of a negative number?

What can you say about the square of a negative number?

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

it cant be squared by a neg number.

confidence rating #$&*: 3

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

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Given Solution:

`a** The square root of a negative will often give you an error (what can you square to get a negative, since any number squared is positive?), but on certain calculators it gives a complex number (actually two complex numbers). These are not real numbers; for the purposes of this course there is no real square root of a negative number.

There is no real number that can be squared to give a negative. If you square a negative number you get a negative times a negative, which is positive. If you square a positive number you get a positive number. So a negative number has no real square root. **

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Self-critique (if necessary):

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Self-critique Rating:

#*&!

&#Good responses. Let me know if you have questions. &#