if √2-1/√2+1=a +b√2 then find value of a and b
Attachments:
Answers
Answered by
6
Value of a is 3 nd b is - 2 just simply rationalise them
Answered by
64
HEY USER !!
HERE IS UR ANSWER ---
Ques : √2 - 1 / √2 + 1 = a + b√2
Firstly , rationalize the denominator of the LHS....
√2 - 1 / √2 + 1
= (√2 - 1 / √2 + 1) × ( √2 - 1 / √2 - 1)
= ( √2 - 1 )^2 / (√2)^2 - (1)^2
= [ (√2)^2 + (1)^2 - 2*√2*1 ] / 2 - 1
= (2 + 1 - 2√2) / 1
= 3 - 2√2
We know that ,,
=> 3 - 2√2 = a + b√2
So,
a = 3
b = - 2
HERE IS UR ANSWER ---
Ques : √2 - 1 / √2 + 1 = a + b√2
Firstly , rationalize the denominator of the LHS....
√2 - 1 / √2 + 1
= (√2 - 1 / √2 + 1) × ( √2 - 1 / √2 - 1)
= ( √2 - 1 )^2 / (√2)^2 - (1)^2
= [ (√2)^2 + (1)^2 - 2*√2*1 ] / 2 - 1
= (2 + 1 - 2√2) / 1
= 3 - 2√2
We know that ,,
=> 3 - 2√2 = a + b√2
So,
a = 3
b = - 2
Similar questions