Question

10) Find the values of a and b if

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Answer 1

Answer:

7+3√5 × √5-2 = a+b√5

√5+2 × √5-2

(7+3√5)(√5-2) = a+b√5

5-4

7√5-14+15-6√5 = a+b√5

1

√5+1 = a+b√5____(1)

a= √5+b√5+1_____(2)eq

put the value of a in eq(1)

√5+1= √5+b√5+b√5+1

0=2b√5

b=0

put the value of b in eq(2)

a=√5+b√5+1

a=√5+1