Imaginary Square Roots of a Negative Real Number
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- As you have probably learned before, when we are working with real numbers, the expression a\sqrt{a}a cannot be evaluated when a<0.a<0.a<0. In other words, there is no real sol…
By Caroline K, Jonathan Heller, Anusha Rahman
- Complex Roots Now that we have a basic grasp of imaginary and complex numbers, we can start diving a little bit deeper. We know that −1\sqrt{-1}−1 can be rewritten as iii, and …
By Jonathan Heller, Caroline K
- (Video) Negative Underneath Root in Quadratic Formula (Imaginary Solutions) by mathwithmrbarnes Check out this video by mathwithmrbarnes about using the quadratic formula with i…
By Trisha, Anusha Rahman
- Imaginary Square Roots of a Negative Real Number In math, when we talk about square roots, we're usually looking for a number that, when multiplied by itself, gives us a positiv…
By Anusha Rahman
Problems 17
- Write −9\sqrt{-9}−9 as a complex number. Use iii to denote the square root of −1-1−1.
- Which of the following are rational numbers? Select all that apply.
- Suppose aaa and bbb are two negative real numbers. Which of the following are possible values of a×b\sqrt{a}\times \sqrt{b}a×b?
- What is −36\sqrt{-36}−36?
- Which of the following are not real numbers? Mark all answers that are correct
- Is −121+5\sqrt{-121} + 5−121+5 a complex number?
- What is −37\sqrt{-37}−37?
- What is i2×−1i^2 \times \sqrt{-1}i2×−1?
- Which of the following are real numbers?
- How many imaginary numbers are in the following set: 4i,17,45,6i11,−9,−7,4i, 17, \frac{4}{5}, \frac{6i}{11}, \sqrt{-9}, -\sqrt{7},4i,17,54,116i,−9,−7,
- Which numbers would be found on a real number line? Check all that apply.
- What is 34\frac{3}{4}43 of −144\sqrt{-144}−144?
- Which of the numbers below would be found on an imaginary number line?
- Find all solutions for xxx: x2=−196x^2=-196x2=−196
- Evaluate: −144\sqrt{-144}−144
- Evaluate the following if xxx is real: −x2\sqrt{-x^2}−x2
- Evaluate: −i2\sqrt{-i^2}−i2