find the value of√ 3+√5÷√3-√5 if √5=2.236
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Solution :
if √5 = 2.236 , √3 = 1.732
Value of ( √3+√5 )/( √3 - √5 )
= [(√3+√5)(√3+√5)]/[(√3-√5)(√3+√5)]
= ( √3+√5 )²/[ (√3)²-(√5)² ]
= ( 3 + 5 + 2√15 )/( 3 - 5 )
= ( 8 + 2√15 )/( -2 )
= [2(4+√15)](-2)
= -( 4 + √5 × √3 )
= -[ 4 + ( 2.236 )( 1.732 ) ]
= - [ 4 + 3.872752 ]
= - 7.872752
••••
if √5 = 2.236 , √3 = 1.732
Value of ( √3+√5 )/( √3 - √5 )
= [(√3+√5)(√3+√5)]/[(√3-√5)(√3+√5)]
= ( √3+√5 )²/[ (√3)²-(√5)² ]
= ( 3 + 5 + 2√15 )/( 3 - 5 )
= ( 8 + 2√15 )/( -2 )
= [2(4+√15)](-2)
= -( 4 + √5 × √3 )
= -[ 4 + ( 2.236 )( 1.732 ) ]
= - [ 4 + 3.872752 ]
= - 7.872752
••••
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