Question

find the value of x and y where root2-1/root2+1=x+yroot2 ​

Answer 1

Answer:

x=3,y=-2

Step-by-step explanation:

Given,

√2-1/√2+1=x+y√2

By rationalising,We get,

√2-1/√2+1*√2-1/√2-1=x+y√2

(√2-1)²/(√2)²-1²=x+y√2

2+1-2√2/2-1=x+y√2

3-2√2=x+y√2

From the above equation,We can find that

x=3,y=-2

Hope it helps you