if 3 + root 5 / 2 root 5 + 3 equal to a + b root 5 find the values of a and b
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Hi ,
( 3 + √5 ) / ( 2√5 + 3 ) = a + b√5
LHS = (3+√5)/(2√5+3)
= [(3+√5)(2√5-3)]/[(2√5+3)(2√5-3)]
= [6√5-9+10-3√5]/[(2√5)² - 3² ]
= ( 19 + 3√5 ) /( 20 - 9 )
= ( 19 + 3√5 )/11
= 19/11 + ( 3/11 ) √5---( 1 )
19/11 + ( 3/11)√5 = a + b√5
a = 19/11 ,
b = 3/11 ;
I hope this helps you.
: )
( 3 + √5 ) / ( 2√5 + 3 ) = a + b√5
LHS = (3+√5)/(2√5+3)
= [(3+√5)(2√5-3)]/[(2√5+3)(2√5-3)]
= [6√5-9+10-3√5]/[(2√5)² - 3² ]
= ( 19 + 3√5 ) /( 20 - 9 )
= ( 19 + 3√5 )/11
= 19/11 + ( 3/11 ) √5---( 1 )
19/11 + ( 3/11)√5 = a + b√5
a = 19/11 ,
b = 3/11 ;
I hope this helps you.
: )
nandhu16:
tnks
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