√5+2/√5-2 =a+b√5 find the values of a and b
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a = 9 , and b = 4
Explanation :
√5+2/√5-2 = a+b√5
= (√5+2)(√5+2) / (√5-2)(√5+2)=a+b√5
= (√5+2)² / (√5)²-(2)² = a+b√5
=(√5)²+(2)²+2×√5×2 / 5+4 = a+b√5
= 5+4+4√5 / 1 = a+b√5
= 9+4√5 = a+b√5
= 9+4 = a+b
= a = 9
b = 4
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