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