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:

Simplify the expression completely. -3sqrt64-sqrt(-9)+2sqrt16 Answer:

Simplify the expression completely.\newline−364−−9+216 -3 \sqrt{64}-\sqrt{-9}+2 \sqrt{16} \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Add, subtract, multiply, and divide complex numbersright chevron icon

Full solution

Q. Simplify the expression completely.\newline−364−−9+216 -3 \sqrt{64}-\sqrt{-9}+2 \sqrt{16} \newlineAnswer:
  1. Question Prompt: Question prompt: Simplify the expression completely.\newline−364−−9+216-3\sqrt{64} - \sqrt{-9} + 2\sqrt{16}
  2. Simplify Square Root of 6464: Simplify the square root of 6464. The square root of 6464 is 88 because 82=648^2 = 64. −364-3\sqrt{64} becomes −3×8-3 \times 8.
  3. Calculate Product of −3-3 and 88: Calculate the product of −3-3 and 88.\newlineMultiplying −3-3 by 88 gives −24-24.\newline−3×8=−24-3 \times 8 = -24.
  4. Simplify Square Root of −9-9: Simplify the square root of −9-9. The square root of −9-9 is not a real number; it is an imaginary number. The square root of 99 is 33, and since we are taking the square root of a negative number, we use the imaginary unit ii. −9\sqrt{-9} becomes 3i3i.
  5. Simplify Square Root of 1616: Simplify the square root of 1616.\newlineThe square root of 1616 is 44 because 42=164^2 = 16.\newline2162\sqrt{16} becomes 2×42 \times 4.
  6. Calculate Product of 22 and 44: Calculate the product of 22 and 44.\newlineMultiplying 22 by 44 gives 88.\newline2×4=82 \times 4 = 8.
  7. Combine Simplified Terms: Combine all the simplified terms.\newlineCombine −24-24 (from Step 22), 3i3i (from Step 33), and 88 (from Step 55).\newlineThe expression becomes −24−3i+8-24 - 3i + 8.
  8. Add −24-24 and 88: Add −24-24 and 88.\newlineAdding −24-24 and 88 gives −16-16.\newline−24+8=−16-24 + 8 = -16.
  9. Write Final Expression: Write the final simplified expression.\newlineThe final expression is −16−3i-16 - 3i.

More problems from Add, subtract, multiply, and divide complex numbers

Question
Simplify.\newline8i+6i8i + 6i\newline\newlineWrite your answer in the form a+bia + bi.
Get tutor helpright-arrow

Posted 5 months ago

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

Posted 5 months ago

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

Posted 5 months 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 10 months ago

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

Posted 5 months ago

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

Posted 10 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 8 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 8 months 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 10 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 8 months ago

View all (24)

Related topics

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