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

What is the output of the function when the input is 0?
What kinds of crops and domesticated animals became important with the arrival of agriculture?
-Huntington's Disease 1. Which members of the family above are afflicted with Huntington's Disease? 2. There are no carriers for Huntington's Disease- you eithe
Which exercise strengthens the humerus.
−4/9f = −3 what does f equal?
Someone plz help me :(
John is writing a code instructing the character to move forward 10 steps, choose a number between 1 to 10, and if the number is greater than 5, the character s
Determine the highest occupied energy level in the following elements: a. He b. Be C. Al d. Ca e. Sn
Where can i check on an acer chromebook to see what version of java is installed.
Use this graph of f to find f(6).