Math, asked by Surbhi5049, 1 year ago

plzzz ans it ques 5 its vry urgent

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Answered by mysticd
1

Hi ,

LHS = ( 2 - √5 )/ ( 2 + 3√5 )

Rationalize the denominator ,

= [(2-√5)( 3√5 -2)]/[(3√5+2)(3√5-2)]

= [6√5 -4 -15 +2√5 )/[(3√5)² - 2² ]

= ( -19 + 8√5 ) /( 45 - 4 )

= ( -19 + 8√5 ) / 41

= ( -19/41) + ( 8/41)√5 ---( 1 )

= b + a√5 -------( 2 )

Compare ( 1 ) and ( 2 ) , we get

b = - 19/41 , a = 8/41

I hope this helps you.

: )
Answered by Pranav1811
3
Look at the picture , attached with this answer ....!
If any doubt ask me ...!


Sorry a correction is there , replace 44 as 41 ...
so your final answer will be ...
a = 8/41
b= 19/41
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