bewellplus.gsu.edu
lildill77 lildill77
  • 18-01-2015
  • Mathematics
Answered

Simplify completely: 2 square root 3 - square root 6 all over 3 square root 6 + 2 square root 3

Verified Answer :

konrad509
konrad509 konrad509
  • 18-01-2015

\(\dfrac{2\sqrt3-\sqrt6}{3\sqrt6+2\sqrt3}=\\ \dfrac{(2\sqrt3-\sqrt6)(3\sqrt6-2\sqrt3)}{(3\sqrt6+2\sqrt3)(3\sqrt6-2\sqrt3)}=\\ \dfrac{6\sqrt{18}-12-18+2\sqrt{18}}{54-12}=\\ \dfrac{-30+8\sqrt{18}}{42}=\\ \dfrac{-30+24\sqrt{2}}{42}=\\ \dfrac{-5+4\sqrt{2}}{7}\)

Answer Link

Related Questions

Which verb form agrees with the subject and correctly completes the sentence It a great deal of protein A contain B contains
How did political machines gather votes in the late 18th century and early 19th century
What is one way that developed countries help underdeveloped countries to improve their economies
Which modern psychological perspective is most influenced by the ideas of Sigmund Freud
On the pH scale ranging from 1 to 14 7 is neutral Any number greater than 7 is alkaline any number lower than 7 is acidic With that in mind in turns out that th
The sentence Walking the wire my dog waited for the squirrel to fall is an example of split infinitive parallel structure dangling participle none of these
how to know the equation
what is an improper fraction for 2 310
Number nine please help
Which biome has been most impacted by logging A Tundra B Taiga C Grassland D Temperate rain forest