16. The value of √3-2√2 is
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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. ………………
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√3–2√2
= (√3–2√2) × (√3+2√2) [b/z, (√3+2√2) is the rationalising factor of (√3–2√2)]
= (√3)² - (2√2)² [b/z, a²-b²]
= 3 - 4(2)
= 3 - 8
= -5
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