Question

Find the values of a and b (√5-2)/(√5+2) -(√5+2 )/(√5-2) = a - b√5​

Answer 1

Answer:

Step-by-step explanation:

sqrt(5)-2/sqrt(5)+2

rationalise the denominator

sqrt(5)-2(sqrt(5)-2)/(5-4)

=(sqrt(5)-2)^2

=5+4-4sqrt(5)

=9-4sqrt(5)

sqrt(5)+2/sqrt(5)-2

rationalise the denominator

sqrt(5)+2(sqrt(5)+2)/(5-4)

=(sqrt(5)+2)^2

=5+4+4sqrt(5)

=9+4sqrt(5)

9-4sqrt(5)-9-4sqrt(5)

=-8sqrt(5)

a=0

b=-8

Answer 2

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