Question

rationalise the denaminstor 1/√2+√3+√2
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Answer 1

Solution :

we need to Rationalize the denominator 1/√2+√3+√2

= (1/√2 ) + (√3/1 + √2/1)

Taking LCM of √2 , 1 ,1 and we get LCM = √2

= (1 + √2.√3 + √2.√2)/√2

= (1 + √6 + 2)/√2

= (3 + √6)/√2

Rationalising The Denominator :

= (3 + √6)/√2 × (√2/√2)

= (3√2 + √12)/2

= (3√2 + 2√3)/2

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