Question

Simplify 1/3-root8 - 1/root8-root7+ 1/root7-root6-1/root6 - root5 + 1/root5-2

Answer 1

1/(3-√8) + 1/(√7-√6) + 1/(√5 -2) -1/(√8-√7) -1/(√6-√5)

use concept of rationalisation,

1/(3-√8) = 3+√8

1/(√7 -√6) = √7+√6

1/(√5-2) = √5+2

1/(√8-√7) = √8+√7

1/(√6-√5) = √6 +√5

put all of this ,

now,

3+√8 +√7+√6 +√5+2-√8 -√7 -√6 -√5

= 5

hence proved

pls mark as brainliet!! :)

Answer 2

Answer:

5

Step-by-step explanation:

3+root8 - root 8 - root 7 + root 7 + root 6 - root 6 - root 5 + root 5 + 2

= 3+2

=5

Please mark me as brainliest.