Math, asked by sarthaksharma2005coc, 10 months ago

Find a and b if [(7+√5)/(7-√5)]-[(7-√5)/(7+√5)]=a+7√5b

Answers

Answered by oohs9i2017
4

Answer:

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

Step-by-step explanation:

Answered by Vyomsingh
3

Answer:

Step-by-step explanation:

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