Find the value of (3+3√2 ) * 0/2
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Let the value of √(3–2√2) is (√x - √y) , accordingly :-
(√x - √y)^2 = (3 - 2√2).
or, x + y -2√(x.y) = 3 - 2√2.
or, x + y = 3. …………..(1). , x.y = 2. ………………..(2).
Putting y= 3 - x from eqn. (1) to eqn.(2).
x.(3-x) = 2.
or, x^2 -3.x + 2 =0.
or, (x -2).(x-1) = 0.
or, x = 2 , 1.
y = 3 - x.
or, y = 3 - 2 , 3–1.
or, y = 1 , 2.
Thus , the values of √(3–2√2) are (√2 - 1) or, (1- √2). Answer.
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