Question

simplify by rationalizing the denominator :
(i)
$\sqrt{2} + 1 \div \sqrt{2} - 1$
(ii)
$5 - \sqrt{6} \div 5 + \sqrt{6}$
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Answer 1

Step-by-step explanation:

√2 +1 /√2-1 => (√2 +1 /√2-1 )* (√2 +1 /√2+1 )

=> (√2 +1 )²/(√2²-1²)

=> (2 +1+ 2√2 )/(2-1)

=> 3+2√2 Answer

******

5-√6/ 5+ √6 => (5-√6/ 5+ √6)*(5-√6/ 5- √6)

=> (5-√6)²/ (5² - √6²)

=> (25-10√6+6) / (25 - 6)

=> (31-10√6) /19