If x=√3+√2 thenx^2+1/x^2
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Hi Mate!!!
( x² + 1 / x² ) = ( x + 1 / x ) ² - 2
x² + 1 / x² = (√3 + √2 + 1 / √3 + √ 2 )² -2
{(3 +2 + 2√6 + 1)² / 5 + 2√6 } -2
{(6 + 2√6)² / 5 + 2√6 } -2
{36 +24 +24√6 / 5 + 2√6 } -2
60 + 24√6 - 10 -4√6 / 5+2√6
50 + 20√6 /5 +2√6
( x² + 1 / x² ) = ( x + 1 / x ) ² - 2
x² + 1 / x² = (√3 + √2 + 1 / √3 + √ 2 )² -2
{(3 +2 + 2√6 + 1)² / 5 + 2√6 } -2
{(6 + 2√6)² / 5 + 2√6 } -2
{36 +24 +24√6 / 5 + 2√6 } -2
60 + 24√6 - 10 -4√6 / 5+2√6
50 + 20√6 /5 +2√6
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