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Question Number 211659 by efronzo1 last updated on 15/Sep/24

Commented by Frix last updated on 15/Sep/24

Simply transform it ⇒ n=3

Simplytransformit⇒n=3

Answered by BHOOPENDRA last updated on 15/Sep/24

(√5) +n(√3)−2(√2)=((√5)+(√2))((√(15))+3−(√(10))−(√6)) (√5)+n(√3)−2(√2)=3(√3)−2(√2)+(√5) compare both side n=3

5+n3−22=(5+2)(15+3−10−6)5+n3−22=33−22+5comparebothsiden=3

Answered by a.lgnaoui last updated on 15/Sep/24

(√5) +n(√3) −2(√2) =((√5) +(√3))((√5) +(√2) )(.(√3) −(√2) ) =[5+(√(10)) +(√(15)) +(√6) )]((√3) −(√2) )= =5(√3) −5(√2) +(√(30)) −2(√5) +3(√5) −(√(30)) +3(√2) −2(√3) =3(√3) +(√5) −2(√2) ⇒(√5) +n(√3) −2(√2) =(√5) +3(√3) −2(√2) n=3

5+n3−22=(5+3)(5+2)(.3−2)=[5+10+15+6)](3−2)==53−52+30−25+35−30+32−23=33+5−22⇒5+n3−22=5+33−22n=3

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