Question

Simplify 1/ 2+√3 + 2/ √5−√3 + 1/ 2 − √5.

plz write in a page

Answer 1

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..

Answer 2

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