Question

if a=2+ root 3then find value of a - 1/a

Answer 1

Heya !!!


A = 2 + ✓3



1/A = 1/ 2 + ✓3


1/A = 1/ 2 + ✓3 × ( 2 - ✓3 ) / ( 2 - ✓3 )



1/A = ( 2 - ✓3 ) / ( 2 + ✓3 ) ( 2 - ✓3 )


1/A = ( 2 - ✓3 ) / (2)² - (✓3 )²


1/A = ( 2 - ✓3 ) / 4 - 3 = 2 - ✓3



Therefore,



A - 1/A = ( 2 + ✓3 ) - ( 2 - ✓3 ) = 2 + ✓3 - 2 + ✓3 = 2✓3



★ HOPE IT WILL HELP YOU ★

Answer 2

Step-by-step explanation:

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