Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express the radical using the imaginary unit, i. Express your answer in simplified form. +-sqrt(-80)=+-

Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±−80=± \pm \sqrt{-80}= \pm

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Introduction to complex numbersright chevron icon

Full solution

Q. Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±−80=± \pm \sqrt{-80}= \pm
  1. Expressing −80\sqrt{-80} as a product: Express ±−80\pm\sqrt{-80} as the product of square roots and −1\sqrt{-1}.
    ±−80=±−1×80\pm\sqrt{-80} = \pm\sqrt{-1 \times 80}
  2. Factoring 8080 into 16×516 \times 5: Factor 8080 into 16×516 \times 5, since 1616 is a perfect square.\newline±−80=±−1×16×5\pm\sqrt{-80} = \pm\sqrt{-1 \times 16 \times 5}
  3. Expressing −1\sqrt{-1} as ±i\pm i: Express ±−1\pm\sqrt{-1} as ±i\pm i and take the square root of 1616.
    ±−80=±−1⋅16⋅5\pm\sqrt{-80} = \pm\sqrt{-1} \cdot \sqrt{16} \cdot \sqrt{5}
    = ±i⋅4⋅5\pm i \cdot 4 \cdot \sqrt{5}
  4. Simplifying the expression: Simplify the expression by multiplying the real numbers. ±−80=±4i⋅5\pm\sqrt{-80} = \pm 4i \cdot \sqrt{5}

More problems from Introduction to complex numbers

Question
What is the period of y=3cos⁡(x−7)+2 y=3 \cos (x-7)+2 ?\newlineGive an exact value.\newlineunits
Get tutor helpright-arrow

Posted 8 months ago

Question
(−10i)+(−40+8i)= (-10 i)+(-40+8 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 8 months ago

Question
(8−i)−(−82+2i)= (8-i)-(-82+2 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 8 months ago

Question
(80i)−(80+10i)= (80 i)-(80+10 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 8 months ago

Question
Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±−64=± \pm \sqrt{-64}= \pm
Get tutor helpright-arrow

Posted 8 months ago

Question
Which of the following is equivalent to the complex number i21 i^{21} ?\newlineChoose 11 answer:\newline(A) 11\newline(B) i i \newline(C) −1-1\newline(D) −i -i
Get tutor helpright-arrow

Posted 8 months ago

Question
Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±−30=± \pm \sqrt{-30}= \pm
Get tutor helpright-arrow

Posted 8 months ago

Question
Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±−35=± \pm \sqrt{-35}= \pm
Get tutor helpright-arrow

Posted 8 months ago

Question
Express the radical using the imaginary unit, i i .\newlineExpress your answer in simplified form.\newline±−4=± \pm \sqrt{-4}= \pm
Get tutor helpright-arrow

Posted 8 months ago

Question
late scale drawing...\newlineCopy of Cakes to Sn.\newlineCen We Prevent Sch\newlineColinge Bouts\newlinee? Resend it,\newlineKhan Academy\newlineDonate ए\newlineemmy h\newlinelazing!\newlineweek\newlinestreak\newlineLevel 1414\newlineGoogle Classroom\newlineMicrosoft Teams\newlinePolygon F F has an area of 3636 square units. Aimar drew a scaled version of Polygon F F and labeled it Polygon G G . Polygon G G has an area of 44 square units.\newlineWhat scale factor did Aimar use to go from Polygon F F to Polygon G G ? □ \square
Get tutor helpright-arrow

Posted 3 hours ago

View all (24)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant