Question

is root 2 minus one by root 2 + 1 is equal to a + b root 2 then find the value of a and b​

Answer 1

LHS = (√2-1)/(√2+1)

=[(√2-1)(√2-1)]/[(√2+1)(√2-1)]

= (√2-1)²/[(√2)²-1²]

= (2+1-2√2)/(2-1)

= 3-2√2

= a + b√2 [ given ]

a = 3 , b = -2

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