Question

Plz answer it in complete
Rationalise

Answer 1

Here is the answer!!!

Hope it helps....

Mark as brainliest.....

Answer 2

Rationalisation

Solution:

We do term by term rationalisation and then find the answer.

∴ 4√2 / (√15 - 3√2)

= 4√2 (√15 + 3√2) / {(√15 - 3√2) (√15 + 3√2)}

= 4√2 (√15 + 3√2) / (15 - 18)

= 4√2 (√15 + 3√2) / (- 3)

= - 4/3 * (√30 + 6),

3√5 / (√10 - √3)

= 3√5 (√10 + √3) / {(√10 - √3) (√10 + √3)}

= 3√5 (√10 + √3) / (10 - 3)

= 3√5 (√10 + √3) / 7

= 3/7 * (5√2 + √15) and

5√5 / (√6 + √5)

= 5√5 (√6 - √5) / {(√6 + √5) (√6 - √5)}

= 5√5 (√6 - √5) / (6 - 5)

= 5√5 (√6 - √5) / 1

= 5 * (√30 - 5).

∴ 4√2 / (√15 - 3√2) + 3√5 / (√10 - √3) + 5√5 / (√6 + √5)

= - 4/3 * (√30 + 6) + 3/7 * (5√2 + √15) + 5 * (√30 - 5)

= {- 4 * 7 * (√30 + 6) + 3 * 3 * (5√2 + √15) + 5 * 21 * (√30 - 5)} / 21

= (- 28√30 - 168 + 45√2 + 9√15 + 105√30 - 525) / 21

= (77√30 + 9√15 + 45√2 - 693) / 21

This is the required rationalisation.

Read more on Brainly.in

Rationalise 1/√3+√2 - 2/√5-√3- 3/√2-√5

- https://brainly.in/question/17158698