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

Asked by Prashanth Balasubramaniam | 13th Oct, 2012, 10:57: AM

Expert Answer:

Answer : Given : 1/(7-4(31/2)) and  the value of 31/2 =1.73
To find the value of equation
 
=>  1/(7-4(31/2)) 
rationalising the above equation, we get
=>  (7+4(31/2)) / ((7-4(31/2)) (7+4(31/2))
 =>  (7 + 4(31/2)) / ( 72 - (4(31/2 ))2 )  
{using (a+b)(a-b)=a2 -b2 }
 
=>  (7 + 4(31/2)) / (49 - 48) 
 =>  (7 + 4(31/2)) /1 
=> 7 + 4*(1.73)    {using given value }
=> 7+ 6.92
=> 13.92 Answer
 

Answered by  | 13th Oct, 2012, 07:22: PM

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