Question

Express 1/3+√2 with rational denominator​

Answer 1

Answer:

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Answer 2

Answer:

(3 - √2) / 7

Solution:

Here,

We need to express 1/(3 + √2) with rational denominator.

Thus,

1/(3 + √2) = (3 - √2) / ( 3 + √2)(3 - √2)

= (3 - √2) / [ 3² - (√2)² ]

= (3 - √2) / ( 9 - 2 )

= (3 - √2) / 7

Hence,

The required answer is : (3 - √2) / 7