Question

√2-1÷√2+1=a+b√2 Find the value of 'a' and 'b'​

Answer 1

Answer:

a=3 and b=-2

Step-by-step explanation:

$\frac{ \sqrt{2} - 1}{ \sqrt{2} + 1} = a + b \sqrt{2} \\ \frac{ \sqrt{2 } - 1}{ \sqrt{2} + 1 } \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1} = a + b \sqrt{2} \\ \frac{2 + 1 - 2 \sqrt{2} }{2 - 1} = a + b \sqrt{2} \\ 3 - 2 \sqrt{2 } = a + b \sqrt{2} \\ a = 3 \: and \: b = - 2$

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