Question

if a = root 2 + 1/ root 2 - 1 and b = 1/a then value of a2 +b2 is

Answer 1

Answer:

34

Step-by-step explanation:

first rationalize the denominator of a - √2+1/√2-1 * √2+1/√2+1

so , after ratinalizing we get a=3+2√2

now , given b=1/a

now put the rationalized value of a

b=1/3+2√2

now , rationalize the denominator of b

after ratinalizing we get -

b=3-2√2

the question is to find the value of a^2 + b^2

now put the values of a and b

we get ,

(3+2√2)^2 + (3-2√2)^2

solve using the identity

in first (a+b)^2 =a^2+b^2 +2ab

second (a-b)^2=a^2+b^2 -2ab

After solving this we get the answer as 34

I hope u like this answer

Answer 2

Answer:

a = 3+2√2

b = 3-2√2

a²+b²=34