Question

find the value of 1/2+root 3 + 2/root 5-root 3 + 1/2-root 5​

Answer 1

Answer:

0

Step-by-step explanation:

1/(2+√3) + 2/(√5-√3) + 1/(2-√5)

= {1/(2+√3) × (2- √3)/(2- √3)} + {2/(√5-√3) × (√5+√3)/(√5+√3)} +{ 1/(2-√5) × (2+√5)/(2+√5) }

= (2- √3)/(4-3) + 2(√5+√3)/(5-3) + (2+√5)/(4-5)

= (2- √3) + 2(√5+√3)/2 + (2+√5)/(-1)

= (2- √3) + (√5+√3) - (2+√5)

= 2- √3 + √5+√3 - 2-√5

= 0

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