Question

if 2/√3+√5 +2/√3-√5=a√3+b√5 find a and b​

Answer 1

Step-by-step explanation:

as given, above pic whole explation is there

Answer 2

Solution:

LHS = 2/(√3+√5) +2/(√3-√5)

= 2[1/(√3+√5) + 1/(√3-√5)]

= 2[ (√3-√5+√3+√5)/(√3+√5)(√3-√5)]

=2(2√3)/[(√3)²-(√5)²)

= 4√3/(3-5)

= (4√3)/(-2)

= -2√3

Now ,

LHS = RHS

=> (-2)√3+0 = a√3+b√5

Compare both sides,we get

a = -2 , b = 0

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