Question

find the value of√ 3+√5÷√3-√5 if √5=2.236

Answer 1

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

••••