Simplify 1/ 2+√3 + 2/ √5−√3 + 1/ 2 − √5.
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Answers
Answered by
29
Dear Student,
● Answer -
1/(2+√3) + 2/(√5−√3) + 1/(2−√5) = 0
◆ Explanation -
Let's take the equation -
X = 1/(2+√3) + 2/(√5−√3) + 1/(2−√5)
X = (2-√3)/(2+√3)(2-√3) + 2(√5+√3)/(√5-√3)(√5+√3) + (2+√5)/(2-√5)(2+√5)
X = (2-√3)/(4-3) + 2(√5+√3)/(5-3) + (2+√5)/(4-5)
X = (2-√3) + (√5+√3) - (2+√5)
X = 2 - 2 - √3 + √3 + √5 - √5
X = 0
Hence,
1/(2+√3) + 2/(√5−√3) + 1/(2−√5) = 0
Hope I was useful. Keep asking..
Answered by
12
Answer: 0
According to my teacher it's correct not 2√5
Step-by-step explanation:
1/(2+√3) + 2/(√5−√3) + 1/(2−√5)
= (2-√3)/(2+√3)(2-√3) + 2(√5+√3)/(√5-√3)(√5+√3) + (2+√5)/(2-√5)(2+√5)
= (2-√3)/(4-3) + 2(√5+√3)/(5-3) + (2+√5)/(4-5)
= (2-√3) + (√5+√3) - (2+√5)
= 2 - 2 - √3 + √3 + √5 - √5
= 0
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