Glencoe Math: Course 3, Volume 1
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Glencoe Math: Course 3, Volume 1 View details
8. Roots
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Exercise 6 Page 75

Is there a real number that when multiplied by itself results in a negative number?

No solution.

Practice makes perfect

We want to find the positive square root of - 0.25. sqrt(- 0.25)Recall that no real number multiplied by itself can be equal to a negative number. This is because any positive number multiplied by a positive number is a positive number, and any negative number multiplied by a negative number is also a positive number. (+)*(+)=(+) (-)*(-)=(+) Therefore, there is no real number that when raised to the second power will result in a negative number. This means that there is no real square root of a negative number. sqrt(- 0.25) = *