Question

rationalize the denominator of the following √6 /√3-√2​

Answer 1

Answer:

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Answer 2

Answer:

3√2 + 2√3

Solution:

Here,

We need to rationalize the denominator of

√6/(√3 - √2) .

Thus,

√6/(√3 - √2)

= √6(√3 + √2) / (√3 - √2)(√3 + √2)

= √6(√3 + √2) / [ (√3)² - (√2)² ]

=> √6(√3 + √2) / (3 - 2)

=> √6(√3 + √2)

=> √6•√3 + √6•√2

=> 3√2 + 2√3

Hence,

The required answer is ; 3√2 + 2√3