Question

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

Answer 1

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

I hope this helps you.

:)

Answer 2

MARK IT AS BRILLIAST