KeyionF429083 KeyionF429083
  • 25-10-2022
  • Mathematics
contestada

-27\sqrt(3)+3\sqrt(27), reduce the expression

Respuesta :

LyzanderI495724 LyzanderI495724
  • 25-10-2022

[tex]-18\sqrt[]{3}[/tex]

Explanation

[tex]-27\sqrt[]{3}+3\sqrt[]{27}[/tex]

Step 1

Let's remember one propertie of the roots

[tex]\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}[/tex]

hence

[tex]\sqrt[]{27}=\sqrt[]{9\cdot3}=\sqrt[]{9}\cdot\sqrt[]{3}=3\sqrt[]{3}[/tex]

replacing in the expression

[tex]\begin{gathered} -27\sqrt[]{3}+3\sqrt[]{27} \\ -27\sqrt[]{3}+3(3\sqrt[]{3}) \\ -27\sqrt[]{3}+9\sqrt[]{3} \\ (-27+9)\sqrt[]{3} \\ -18\sqrt[]{3} \end{gathered}[/tex]

therefore, the answer is

[tex]-18\sqrt[]{3}[/tex]

I hope this helps you

Answer Link

Otras preguntas

What is the backbone of a jazz ensemble
What is the first step to solving the division problem below? 6288 divided by 8
How should you test a hypothesis
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
4/6 into a decimal then round to nearest hundredth full explanation ​
Unit 1 : Algebra basics Homework 1: the real numbers
What do you think the cream parts of the thematic map show us in Source D?
If a tortoise is time traveling an average of 1/3 miles per hour, how long would it take the tortoise to travel 6 miles ?
True or False Matter is the ability to do work or cause change.
For a little fun: Each word has two + two blanks. You need to fill up with the same pair of letters to form a word. For example: S _ _ ur _ _ e. The missing pai