Question

find a and b root 2 minus 1 upon root 2 + 1 is equal to a + b root 2 square​

Answer 1

Step-by-step explanation:

$\frac{ \sqrt{2} - 1}{ \sqrt{2} + 1 } = (a + b \sqrt{2} )^{2}$

lets solve RHS

a²+2b²+2√2ab=(√2-1)² (by rationalising)

a²+2b²+2√2ab=2+1-2√2