Question

THIS IS OF CHAPTER RATIONAL ND IRRATIONAL NOS Please find no. (iv) ​

Answer 1

given:

=> (√3+√2)/(√3-√2)

Rationalizing the denominator

=> (√3+√2)/√3-√2) × (√3+√2)/(√3+√2)

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

=> {(√3) square+(√2) square

+ 2.√3.√2}/3-2

=> (3+2+2√6)/1

=> 5+2√6 Answer

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Answer 2

Answer:

$\frac{ \sqrt{3 } + \sqrt{2} }{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3 } + \sqrt{2} } \\ \\ \frac{( \sqrt{3} + \sqrt{2}) {}^{2} }{1 } \\ \\ ( \sqrt{3} ) {}^{2} + ( \sqrt{2} ) {}^{2} + 2. \sqrt{3} . \sqrt{2 } \\ 3 + 2 + 2 \sqrt{6} \\ 5 + 2 \sqrt{6}$