√7-1/√7+1 - √7+1/ √7-1 = a+b√7
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Answer:
Step-by-step explanation:
sqrt(7)-1/sqrt(7)+1
ratinalise the denominator sqrt(7)-1
=sqrt(7)-1)^2/6
=7+1-2sqrt(7)/6
=8-2sqrt(7)/6
sqrt(7)+1/sqrt(7)-1
ratinqlise the denominator sqrt(7)+1
sqrt(7)+1)^2/6
=7+1+2sart(7)/6
=8+2sqrt(7)/6
now (8-2sqrt(7)/6)-(8+2sqrt(7)/6)=-4sqrt(7)/6=a+bsqrt(7)
a=0
b=-4/6=-2/3
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