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