Question

What is the following product?

3-√2
(5√6-7√√3)
O 30√2-21 √5
O60√2-21√5
O 30√3-21√6
O 603-216

Answer 1

The product of the given expression is 30√2-21√5.

Step-by-step explanation:

The product of the given expression is 30√2-21√5.

To find the product, distribute 3 across the terms in the second parentheses: 3(5√6) - 3(7√√3).

Simplify each term: 15√6 - 21√√3.

Further simplify by rationalizing the square root: 15√6 - 21√(√3 * √3) = 15√6 - 21√3.

Therefore, the product is 30√2-21√5.

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