Question

Distribute and simplify the radicals below.

((18+ √{3}) (√{12} - _))
- A) (2 + √{5.76})
- B) (10 + √{3.46})
- C) (2 + √{3.6})
- D) (10 + 5√{6})

Answer 1

To distribute and simplify the given radicals, use the distributive property and rules of simplifying radicals. The expression is 18√{12} + 6 - √{12}.

Step-by-step explanation:

To distribute and simplify the given radicals, we can use the distributive property and the rules of simplifying radicals.

Starting with the first term, (18+ √{3}), we distribute it to both terms inside the second parentheses:

(18+ √{3}) (√{12} - _) = 18√{12} + √{3}√{12} - _√{12}.

Next, we simplify the radicals by finding the product of the numbers inside the radical:

18√{12} + √{3}√{12} - _√{12} = 18√{12} + √{3×12} - _√{12} = 18√{12} + √{36} - _√{12} = 18√{12} + 6 - _√{12}.

This cannot be simplified further, so the expression is 18√{12} + 6 - _√ {12}.