Math, asked by 999navtej, 8 months ago

Express 1/1+√2-√3
with rational denominator​

Answers

Answered by jana07122002
2

Step-by-step explanation:

1/(1+√2-√3)

=(1+√2+√3)/[(1+√2-√3)(1+√2+√3)]

=(+1√2+√3)/[(1+√2)^2-(√3)^2]

=(1+√2+√3)/[1+2+2√2-3]

=(1+√2+√3)/(2√2)

=[√2(1+√2+√3)]/(2√2×√3)]/(2√2×√2)

=(√2+2+√6)/4

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