Math, asked by rapidashking, 17 days ago

add (√3+2√2) and (2√3-5√2)​

Answers

Answered by UltimateAK
0

Answer:

  • add (√3+2√2) and (2√3-5√2)

Step-by-step explanation:

  • (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
  • 3
  • −5
  • 2
  • )+(
  • 3
  • +2
  • 2
  • ) =3(\sqrt{3}-\sqrt{2})=3(
  • 3
  • 2
  • )
  • Step-by-step explanation:
  • We have,
  • (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
  • 3
  • −5
  • 2
  • )+(
  • 3
  • +2
  • 2
  • )
  • To add, (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})=?(2
  • 3
  • −5
  • 2
  • )+(
  • 3
  • +2
  • 2
  • )=?
  • ∴ (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
  • 3
  • −5
  • 2
  • )+(
  • 3
  • +2
  • 2
  • )
  • =2\sqrt{3}-5\sqrt{2}+\sqrt{3}+2\sqrt{2}=2
  • 3
  • −5
  • 2
  • +
  • 3
  • +2
  • 2
  • =(2\sqrt{3}+\sqrt{3})+(-5\sqrt{2}+2\sqrt{2})=(2
  • 3
  • +
  • 3
  • )+(−5
  • 2
  • +2
  • 2
  • )
  • =3\sqrt{3}-3\sqrt{2}=3
  • 3
  • −3
  • 2
  • Taking 3 as common, we get
  • =3(\sqrt{3}-\sqrt{2})=3(
  • 3
  • 2
  • )
  • The addition of (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
  • 3
  • −5
  • 2
  • )+(
  • 3
  • +2
  • 2
  • ) =3(\sqrt{3}-\sqrt{2})=3(
  • 3
  • 2
  • )
  • Hence, (2\sqrt{3}-5\sqrt{2})+(\sqrt{3}+2\sqrt{2})(2
  • 3
  • −5
  • 2
  • )+(
  • 3
  • +2
  • 2
  • ) =3(\sqrt{3}-\sqrt{2})=3(
  • 3
  • 2
  • )

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