Disgruntledstudent Disgruntledstudent
  • 02-05-2019
  • Mathematics
contestada

How to simplify the square root of 3 over the square root of 21

Respuesta :

LammettHash
LammettHash LammettHash
  • 02-05-2019

3 * 7 = 21, so

[tex]\sqrt{21}=\sqrt{3\cdot7}=\sqrt3\sqrt7[/tex]

Then

[tex]\dfrac{\sqrt3}{\sqrt{21}}=\dfrac1{\sqrt7}[/tex]

and you can rationalize the denominator to write this as

[tex]\dfrac1{\sqrt7}\cdot\dfrac{\sqrt7}{\sqrt7}=\dfrac{\sqrt7}7[/tex]

Answer Link
angie823
angie823 angie823
  • 02-05-2019

answer: √3⋅√21 = 3√7

Answer Link

Otras preguntas

The average American uses about 90 gallons of water per day. How many liters per year is this?
Help me with this question please the l you
We learned about an enemy who is sophisticated, patient, disciplined, and lethal. The enemy rallies broad support in the Arab and Muslim world by demanding redr
Can some one please help me out
How does paragraph 2 in the Leap act as a flashback? What clues does it give about the rest of the story?
What is it that no one wants, but no one wants to lose?
Simplify 7^8x7^3x7^4/7^9x7^5
__________ is a Microsoft software development tool that developers can use to write multimedia applications
(7x-9)/(x+10) please answer with steps
Add: (2^3 − + 4) + (5^2 − 6 + 3)