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What is the following product 3 square root 2(5 square root 6-7 square root 3

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Answer:

30√3 - 21 √6

Explanation:

The given expression is:

3√2 (5√6 -7√3)

We cannot subtract the values inside the bracket because the values inside the radicals are not same.

So multiply 3√2 with the bracket.

=3*5√2*6 - 3*7√2*3

=15√12 - 21√6

Now break √12

=15√4*3 - 21√6

write √4*3 separately:

=15√4 *√3 - 21√6

We know that √4 = 2

=15*2*√3 - 21√6

=30√3 - 21 √6

Therefore the answer is 30√3 - 21 √6 ....

User Qiaochu Yuan
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