a- 5
b- 6
c- 7
d- 8
e- 9
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x = √500 - 3√20 + 2 - 2√5/(√5 - 1)
x = 10*√5 - 6√5 + 2 -2√5*(√5+1)/(√5+1)*(√5-1)
x = 2 + 4√5 - 2√5*(√5+1)/(5 - 1)
x = 2 + 4√5 - 5/2 - √5/2
x = 2 - 5/2 + 8√5/2 - √5/2
x = -1/2 + 7√5/2
x = a + b√c
a = -1/2
b = 7/2
c = 5
a + b + c = -1/2 + 7/2 + 5 = 8 (D)
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Verified answer
x = √500 - 3√20 + 2 - 2√5/(√5 - 1)
x = 10*√5 - 6√5 + 2 -2√5*(√5+1)/(√5+1)*(√5-1)
x = 2 + 4√5 - 2√5*(√5+1)/(5 - 1)
x = 2 + 4√5 - 5/2 - √5/2
x = 2 - 5/2 + 8√5/2 - √5/2
x = -1/2 + 7√5/2
x = a + b√c
a = -1/2
b = 7/2
c = 5
a + b + c = -1/2 + 7/2 + 5 = 8 (D)