Question

If√2-1/
√2+1 = x+y√2
​

Answer 1

Answer:

The answer is $x=3,y=-2$

Step-by-step explanation:

$\text{LHS}=\dfrac{\sqrt 2-1}{\sqrt 2+1}$

Rationalize denominator

       $=\dfrac{\sqrt 2-1}{\sqrt 2+1}\times \dfrac{\sqrt 2-1}{\sqrt 2-1}$

       $=\dfrac{(\sqrt2)^2-2\sqrt 2+1^2}{(\sqrt2)^2-1^2}\\\\=\dfrac{2-2\sqrt 2+1}{2-1}\\=\dfrac{3-2\sqrt 2}{1}=3-2\sqrt 2$

Therefore $x=3,y=-2$

Answer 2

• Step-by-step explanation:

X =3 , Y = -2 is answer of this question