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

Recently in the United States, there were about 300,000,000 cell phone users. That same year there were about 5.7x10^9 cell phone users worldwide. About how man
Is 4xy + 2y = 9 linear ? If yes write the equation in standard form & determine the x & y interests
what does the surface area represent in a cell
What phylum has animals with a central cavity and mouth;and most of them have tentacles?
Lily and julian start with the same number. Lily works out half the number and Julian works out 3 quarters The sum of their answers in 275 What was the startin
which type of energy is associated with random motion of atoms and molecules in a sample of air? 1.chemical energy 2. electrical energy 3.nuclear energy 4. th
step by step how to solve 3y + 5.2 = 2 - 5y
When 8.00x10^22 molecules of ammonia react with 7.00x10^22 molecules of oxygen according to the chemical equation shown below, how many grams of nitrogen gas ar
by hw much is the difference of 604 and 406.64 less than thier sum ?
what is 8-4/5f>-14-2f