bhavya13
bhavya13 bhavya13
  • 06-01-2021
  • Mathematics
contestada

2,76
5. Rationalize the denominator of the following: 2 root 6 divided by root 2 + root 3

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 11-01-2021

Answer:

6 √2 -4 √3

Step-by-step explanation:

Here, we want to rationalize the denominator of the following surdic fraction;

2√6/(√2 + √3)

To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator

The conjugate of the denominator is √2 - √3

So, we have the rationalization as follows;

2 √6(√2-√3)/(√2 + √3)(√2-√3)

Thus, we have

(4√3-6 √2)/(-1)

= 6 √2 -4 √3

Answer Link

Otras preguntas

Pls help with this Just do you ones you know
help me quick pls 15 pts​
Victor has $28 in his saving account and he will save $11 every week.Be sure include the expresion in your answer ​
At the beginning of year 1, Mike invests $800 at an annual compound interest rate of 3%. He makes no deposits to or withdrawals from the account. Which example
Look, officer, i didn't see the stop sign back there because the sun was in my eyes." the police officer responds, "you were not paying attention." how would a
The "___" favored war with Britain. black fox war eagles war hawks black eagles black hawks
What were Southerners who supported republicans governemnts called it in the South
i need the work as well please​
The michigan state lottery runs a game in which you pay $1 to buy a ticket containing a three–digit number of your choice. if your number is drawn at the end of
Use substitution to solve the system of equations​