Question

express x =3-2√2 in the form x^3-1/x^3

Answer 1

Secondary School

Math

5 points

Express 1/1+√2-√3 with rational denominator

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 by Mit402.10.2017

Answers



mysticd

Genius

Hi ,

1/ ( 1 + √2 - √3 )

= ( 1 +√2+√3)/[(1+√2-√3)(1+√2+√3)]

= (1+√2+√3)/[(1+√2)² - (√3)² ]

= ( 1+√2+√3)/[ 1+2+2√2-3 ]

= ( 1+√2+√3)/ ( 2√2)

= [ √2(1 + √2 + √3 )]/( 2√2 × √2 )

= ( √2 + 2 + √6 ) / 4