Question

If 7+√5/7-√5- 7-√5/7+√5=a +7/11√5b

Answer 1

Step-by-step explanation:

1

rishab260

rishab260

22.05.2016

Math

Secondary School

+5 pts

Answered

Please explain

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

1

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Divyankasc

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