Plz give me answer of this. Pic question
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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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