Question

Find the value of a and b if 7+3√5 / 3+√5 = a + b √5​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

7+3√5/(3+√5) - 7- 3√5/(3-√5)a+√5b

(7+3√5)(3-√5)-(7-3√5)(3+√5)/(3+√5)(3-√5)=a+√5b

21-7√5+9√5-15-21-7√5+9√5+15/19-5=a+√5b

4√5/4=a+√5b

√5=a+√5b

after sending both left and right hand sides

a=0,b=1