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 does the slope of each line represent
Which word or phrase is the best meaning for the underlined word as it is used in the paragraph? Use the thesaurus entry below with meanings for the synonym of
compare and contrast the three types of blood vessels?
Identification of the experiential effect was the primary contribution of ______ studies of deterrence.
a new house costs $260000. sara wants to buy the house and needs $35560 for a down payment. sara currently has $28000 in a savings account that earns 9% simple
Does the hypothesis of linguistic means relativity that we are prisoners of language?
Which best describes heat by conduction? a.air molicules touch the ground warming them up. b.warm air rises and takes heat with it;eventually cooling and sinkin
Why did the Japanese come to America??
What are the 7 traits of an epic hero in beowulf?
What are some expectations we have for the government?