Math, asked by gvdeveshwar, 10 months ago

rationalise the denominator ​

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Answered by swarnamsubudhi460
1

Answer:

10

Step-by-step explanation:

(√3-√2) / (√3+√2) + (√3+√2) / (√3-√2)

=>(√3-√2) (√3-√2) + (√3+√2) (√3+√2)/(√3+√2)(√3-√2)

=>(√3-√2)² + (√3+√2)² / (√3+√2)(√3-√2)

[ in numerator,it is the formula of

(a+b) ²+(a-b) ²=2(a²+b²)

in denominator,it is the formula of

(a+b) (a-b) =a²-b²

both case(numerator & denominator) a=√3,b=√2]

=>2 [(√3)²+(√2)²] / (√3)²-(√2)²

=>2(3+2) / 3-2

=>2×5/1

=>10/1

=>10

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