Question

if x =
$(7 + 4 \sqrt{3} )$

than what's the value of x+1
--
x

Answer 1

Heya !!!



X = ( 7 + 4✓3)



1/X = 1/ ( 7 + 4✓3)



Rationalising the denominator ( 7 + 4✓3)




1/X = 1/ ( 7 + 4✓3) × ( 7-4✓3) / ( 7-4✓3)



1/X = ( 7 - 4✓3) / (7+4✓3) ( 7-4✓3)


1/X = ( 7 -4✓3) / (7)² - (4✓3)²




1/X = ( 7-4✓3) / 49 - 48





1/X = ( 7-4✓3)/1




1/X = ( 7-4✓3)




Therefore,




X + 1/X = ( 7 + 4✓3) + ( 7-4✓3)




=> ( 7 + 7)



=> 14




Hence,


X + 1/X = 14





★ HOPE IT WILL HELP YOU ★