Question

Rationalize the denominator of √3+√2/√3-√2

Answer 1

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Answer 2

Answer:

5+2√6

Step-by-step explanation:

√3+√2/√3-√2

by rationalizing....

√3+√2/√3-√2 × √3+√2/√3+√2

this gives..

(√3+√2)^2/(√3+√2)(√3-√2)

by using identities,(a+b)^2 and (a+b)(a-b)...

(√3)^2 + (2×√3×√2) + (√2)^2 × (√3)^2-(√2)^2

3+2√6+2 × 3-2

5+2√6 × 1

so, your answer is...

5+2√6

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