Question

please find the value of x and y and please be correct ​

Answer 1

x = 3

y = 2

Step-by-step explanation:

Refer attachment.

Answer 2

Answer:

x = 1           and         y = 2/3 is the correct answer

Step-by-step explanation:

We have given:                     √2 + 1  = x + y√2

                                                √2 - 1

now,

         we will rationalise the denominator,

    ⇒   √2 + 1 ×  √(2) + 1 = x + y√2

            √2 - 1     √(2) + 1

and,    (√2 + 1 )^2      =  x + y√2

         (√2)^2 + (1)^2

 ⇒   2 + 1 + 2(√2)(1)  =  x + y√2

           2 + 1

 ⇒      3 + 2√2  = x + y√2

             3

 ⇒ 1 + 2√2 = x + y√2

              3

now by comparing bot the values,

we get,           x = 1           and         y = 2/3

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