{ this means means square root

How do you solve these kind of radicals:
1. (5-{14)*(3-{2)

2. (4{2+2)*(3{3-1)

Can someone show me how to do these correctly please ?

1. (5-{14)*(3-{2)

I read that as
(5 - √14)(3 - √2)
= 15 - 5√2 - 3√14 + √28
= 15 - 5√2 - 3√14 + 2√7

2. (4{2+2)*(3{3-1) is it..
(4√2 + 2)(3√3 - 1) ??
= 12√6 - 4√2 + 6√3 - 2

Yes.

Thank You very much.

To solve these radical expressions, you need to follow a few steps:

Step 1: Simplify any inner parentheses or brackets.

Step 2: Perform any multiplications or divisions within the expression.

Step 3: Simplify any additions or subtractions within the expression.

Step 4: Evaluate the square root, if there is one.

Let's apply these steps to the given expressions:

1. (5 - √(14)) * (3 - √(2))
Step 1: There are no inner parentheses or brackets to simplify.
Step 2: There are no multiplications or divisions within the expression.
Step 3: There are no additions or subtractions within the expression.
Step 4: Now, we simplify the square root:
√(14) is between 3 and 4 because 3^2 = 9 and 4^2 = 16. Therefore, √(14) is between 3 and 4.
√(2) is between 1 and 2 because 1^2 = 1 and 2^2 = 4. Therefore, √(2) is between 1 and 2.

So, the expression would look like this:
(5 - √(14)) * (3 - √(2))
(5 - √(14)) * (3 - √(2))

2. (4√(2+2)) * (3√(3-1))
Step 1: There are no inner parentheses or brackets to simplify.
Step 2: There are no multiplications or divisions within the expression.
Step 3: There are no additions or subtractions within the expression.
Step 4: Now, we simplify the square root:
√(2+2) = √4 = 2
√(3-1) = √2

So, the expression would look like this:
(4 * 2) * (3 * √2)
8 * (3 * √2)
24√2

Therefore, the simplified answer to the second expression is 24√2.