Question

Find the value of a and b if 7+√5÷7-√5+7-√5÷7+√5=a+7÷11√5b

Answer 1



Secondary School

Math

5 points

Please explain

if (7+√5)/(7-√5) - (7-√5)/(7+√5) = a+(7/11)√5b find value of a and b

Advertisement

Ask for details 

Follow

Report

 by Rishab26022.05.2016

Answers

THE BRAINLIEST ANSWER!



Divyankasc

Ace

Well, first you need to simplify your expression.

How ? 
Simple! By rationalising.

(7+√5)/(7-√5) - (7-√5)/7+√5) 

Rationalise both the terms 

(7+√5)² - (7-√5)²/ 49 - 5 
= 49 + 14√5 + 5 - 49 + 14√5 - 5/ 44
= 28√5/44
= 7√5/11 

Now, 7√5/11 = a + (7/11) √5b

On comparison, 
a = 0
b = 1