Question

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SOLVE THIS QUESTION
OPEN CHALLENGE!
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3-√5/2√5+3=a√5-b​

Answer 1

Answer:

Hey Mate Here Is Your Answer

⇒ Hi ,

LHS = ( 3 - √5 )/(3 + 2√5 )

LHS = ( 3 - √5 )/(3 + 2√5 )= [(3-√5)(2√5-3)]/[(2√5+3)(2√5-3)]

LHS = ( 3 - √5 )/(3 + 2√5 )= [(3-√5)(2√5-3)]/[(2√5+3)(2√5-3)]= [6√5 - 9 -10 + 3√5 ]/[ ( 2√5 )² - 3² ]

LHS = ( 3 - √5 )/(3 + 2√5 )= [(3-√5)(2√5-3)]/[(2√5+3)(2√5-3)]= [6√5 - 9 -10 + 3√5 ]/[ ( 2√5 )² - 3² ]= ( 9√5 - 19 )/( 20 - 9 )

LHS = ( 3 - √5 )/(3 + 2√5 )= [(3-√5)(2√5-3)]/[(2√5+3)(2√5-3)]= [6√5 - 9 -10 + 3√5 ]/[ ( 2√5 )² - 3² ]= ( 9√5 - 19 )/( 20 - 9 )= ( 9√5 - 19 )/11

LHS = ( 3 - √5 )/(3 + 2√5 )= [(3-√5)(2√5-3)]/[(2√5+3)(2√5-3)]= [6√5 - 9 -10 + 3√5 ]/[ ( 2√5 )² - 3² ]= ( 9√5 - 19 )/( 20 - 9 )= ( 9√5 - 19 )/11= ( 9/11 )√5 - 19/11 ---( 1 )

= a√5 - b ----------( 2 ) [ RHS ]

from ( 1 ) and ( 2 ) ,

a = 9/11 ,

a = 9/11 ,b = 19/11

I hope this helps you.

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