Question

Kindly Simplify the question
Ans is 1​

Answer 1

Answer:

answer is one 1

Step-by-step explanation:

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Answer 2

Solution

Given:-

==> 7√3/(√10 + √3) - 2√5/(√6+√5) - 3√2/(√15+3√2)

Rationalize denominators of all part.

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

Using Formula

• (a²-b²) = (a-b)(a+b)

==> [7√3(√10-√3)/{(√10)²-(√3)²}] - [2√5(√6-√5)/{(√6)²-(√5)²}] - [3√2(√15-3√2)/{(√15)²-(3√2)²}]

==> [7√3(√10-√3)/(10-3) ] - [2√5(√6-√5)/(6-5)] - [3√2(√15-3√2)/(15-18)]

==> [7√3(√10-√3)/7] - [2√5(√6-√5)/1] - [3√2(√15-3√2)/(-3)]

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

==> √30 - 3 - 2√30 + 10 + √30 - 6

==> 2√30 - 2√30 -9 + 10

==> 0 + 1

==> 1 Ans.

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