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

I need help asap can you help me it would be appreciated! :D
Number 6 and 7 asap please help
There are 825 students in the school. of this number, 44% take the bus to school. How many students take the bus? a 363 b 462 c 532 d 624
The water which penetrates into the ground is stored in
Please help with number 10! Thank you
One-third of Sharon's land has farm animals. One-fifth of the farm animals are chickens. Which model shows what fraction of Sharon's land has chickens?
N Maya Angelou’s poem “Caged Bird,” what does the cage represent?
Locate the gerund and identify its use. The art of stamp collecting is called philately. A.subject B.direct object C.predicate noun D.object of a preposit
Kendra charges $11 to shovel a driveway. She shoveled 4 driveways on Saturday and then some more on Sunday. She made $143 for the weekend. How many driveways di
Please help ASAP need answers thank you