rationalize the denominator of1/7-4root3 and find the value if root3 =1.73

Answer : Given : 1/(7-4(3^1/2)) and  the value of 3^1/2 =1.73

To find the value of equation

 

=>  1/(7-4(3^1/2)) 

rationalising the above equation, we get

=>  (7+4(3^1/2)) / ((7-4(3^1/2)) (7+4(3^1/2))

 =>  (7 + 4(3^1/2)) / ( 7² - (4(3^1/2 ))² )  

{using (a+b)(a-b)=a² -b² }

 

=>  (7 + 4(3^1/2)) / (49 - 48) 

 =>  (7 + 4(3^1/2)) /1 

=> 7 + 4*(1.73)    {using given value }

=> 7+ 6.92

=> 13.92 Answer