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:

Use the imaginary number ii to rewrite the expression below as a complex number. Simplify all radicals. −33\sqrt{-33}

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. Use the imaginary number ii to rewrite the expression below as a complex number. Simplify all radicals. −33\sqrt{-33}
  1. Split into Product: Express −33\sqrt{-33} as the product of square roots and −1\sqrt{-1}.\newline−33=−1×33\sqrt{-33} = \sqrt{-1 \times 33}
  2. Express as Complex Number: Express −1×33\sqrt{-1 \times 33} as a complex number using ii.\newline−33=−1×33\sqrt{-33} = \sqrt{-1} \times \sqrt{33}
  3. Replace with ii: Replace −1\sqrt{-1} with ii to get the complex number.\newline−33=i⋅33\sqrt{-33} = i \cdot \sqrt{33}
  4. Simplify to Final Answer: Simplify 33\sqrt{33} to get the final answer.\newline−33=i⋅33=i33\sqrt{-33} = i \cdot \sqrt{33} = i \sqrt{33}

More problems from Introduction to complex numbers

Question
Simplify.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.\newline‾\underline{\hspace{1cm}}\newline
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the complex conjugate of the given number.\newline4+10i4 + 10i\newline\newlineWrite your answer in the form a+bia + bi.\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify.\newline−4i−9i\frac{{-4i}}{{-9i}}\newline\newlineWrite your answer in the form a+bia + bi. Reduce all fractions.\newline_____\_\_\_\_\_\newline
Get tutor helpright-arrow

Posted 1 month ago

Question
Combine the like terms to create an equivalent expression.\newline7k−k+19=07k-k+19=\boxed{\phantom{0}}
Get tutor helpright-arrow

Posted 4 months ago

Question
Apply the distributive property to factor out the greatest common factor.\newline9+12n= 9+12 n=
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve the equation.\newline12=n−9n=□ \begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}
Get tutor helpright-arrow

Posted 4 months ago

Question
What is the amplitude of y=−sin⁡(8x−3)+5 y=-\sin (8 x-3)+5 ?\newlineunits
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the period of\newliney=4sin⁡(−2x+7)−1 ?  y=4 \sin (-2 x+7)-1 \text { ? } \newlineGive an exact value.\newlineunits
Get tutor helpright-arrow

Posted 1 month ago

Question
3⋅(3+20i)= 3 \cdot(3+20 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 3 months ago

Question
(35−23i)+(13+25i)= (35-23 i)+(13+25 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 1 month ago

View all (55)