#$&* course Mth 151 3/17 5 If your solution to stated problem does not match the given solution, you should self-critique per instructions at
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Given Solution: `a** The meaning is 1^2, 1^3, 1^4. We take a power of the base. The result is always 1. ** &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary):OK ------------------------------------------------ Self-critique Rating: ********************************************* Question: `qQuery (previously 1.4.30) What can you say about the square root of a negative number? What can you say about the square of a negative number? YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: The square root of a negative number does not exist, because no negative number multiplied by a negative number equals a negative number. The square of a negative number will be positive because a negative number times a negative number is always a positive number. confidence rating #$&*: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. ** &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): I did not word exactly the why, but I did explain what would happen if you were to square a negative number. ------------------------------------------------ Self-critique Rating: ********************************************* 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: The square root of a negative number does not exist, because no negative number multiplied by a negative number equals a negative number. The square of a negative number will be positive because a negative number times a negative number is always a positive number. confidence rating #$&*:3 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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Given Solution: `a** The square root of a negative will often give you an error (what can you square to get a negative, since any number squared is positive?), but on certain calculators it gives a complex number (actually two complex numbers). These are not real numbers; for the purposes of this course there is no real square root of a negative number. There is no real number that can be squared to give a negative. If you square a negative number you get a negative times a negative, which is positive. If you square a positive number you get a positive number. So a negative number has no real square root. ** &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): I did not word exactly the why, but I did explain what would happen if you were to square a negative number. ------------------------------------------------ Self-critique Rating: #*&! ********************************************* Question: `qQuery (previously 1.4.30) What can you say about the square root of a negative number? What can you say about the square of a negative number? YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: The square root of a negative number does not exist, because no negative number multiplied by a negative number equals a negative number. The square of a negative number will be positive because a negative number times a negative number is always a positive number. confidence rating #$&*: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. ** &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): I did not word exactly the why, but I did explain what would happen if you were to square a negative number. ------------------------------------------------ Self-critique Rating: #*&!#*&!