rationalize the denominator of under root 3 - under root 2 / under root 3 + under root 2
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Answer:
5 - 2√6
Solution:
Here,
We need to rationalize the denominator of ;
(√3 - √2)/(√3 + √2)
Thus,
Here we go ↓
(√3 - √2)/(√3 + √2)
= (√3 - √2)(√3 - √2) / (√3 + √2)(√3 - √2)
= (√3 - √2)² / [ (√3)² - (√2)² ]
= [ (√3)² - 2×√3×√2 + (√2)² ] / (3 - 2)
= (3 - 2√6 + 2) / 1
= 5 - 2√6
Hence,
Required answer is ; 5 - 2√6
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this is the answer...
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