Math, asked by amitbanerjee63, 10 months ago

Plz give me answer of this. Pic question

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Answered by vengibenji
2

hope it will help you out!!!

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Answered by Sreesha
0

Answer:

ans. 1

mark me the brainliest

Step-by-step explanation:

Rationalizing each term

7√3 / (√10 + √3)  = 7√3 (√10 - √3) /  10 - 3

                             = √3 (√10 - √3)

2√5 / (√6 + √5) = 2√5 (√6 - √ 5) / 6-5

                          = 2√5 (√6 - √ 5)

3√2 / (√15 + 3√2) = 3√2 (√15 - 3√2) / 15 - 18

                              = - √2 (√15 - 3√2)

Hence the qus becomes,

[7√3 / (√10 + √3)] - [2√5 / (√6 + √5)] - [3√2 / (√15 + 3√2)]

                    =  √3 (√10 - √3) - 2√5 (√6 - √ 5) - [- √2 (√15 - 3√2)]

                    =  √3 (√10 - √3) - 2√5 (√6 - √ 5) + √2 (√15 - 3√2)

                    = 30 - 3 - 2√30 + 10 + √30 - 6

                    =  10 - 6 - 3

                    = 1

                 

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