Question

If x = (1 + 2 )^1/2 and y = (1 – 2 )^1/2 , then x 2 + y 2 is

Answer 1

$here \: is \: your \: answer \\ its \: 2 \: \\ hope \: this \: helps \: you$
(^^)✌

Answer 2

Answer:  The required value of the given expression is 2.

Step-by-step explanation:  We are given the following :

$x=(1+2)^\frac{1}{2},\\\\y=(1-2)^\frac{1}{2}.$

We are given to find the value of the following expression :

$E=x^2+y^2.$

To find the value of he given expression, we need to substitute the values of x and y in E.

Therefore, we get

$E\\\\=x^2+y^2\\\\=\left((1+2)^\frac{1}{2}\right)^2+\left((1-2)^\frac{1}{2}\right)^2\\\\=1+2+1-2\\\\=2.$

Thus, the required value of the given expression is 2.