Introduction:
To solve the expression (root3 root2)square2, we need to understand the order of operations and the properties of square roots.

Order of Operations:
The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), helps us determine the sequence in which operations should be performed in an expression.

Square Root:
The square root of a number x is a value that, when multiplied by itself, gives the original number x. It is denoted by the symbol √x.

Solving (root3 root2)square2:
To solve the given expression (root3 root2)square2, we need to break it down step by step:

1. Simplify the expression inside the parentheses: root3 root2.
2. Apply the square root to the simplified expression: (root3 root2)square2.

Simplifying root3 root2:
1. Start by simplifying the square root of 3: √3.
- The square root of 3 cannot be simplified further because it is an irrational number.
2. Next, simplify the square root of 2: √2.
- The square root of 2 is also an irrational number and cannot be simplified further.

Applying square root to (root3 root2):
1. Substitute the simplified expressions back into the original expression: (√3 √2)square2.
2. Multiply the simplified expressions: (√3 √2) = √(3 * 2) = √6.
- When multiplying square roots, we can multiply the numbers under the radicals together.
3. Apply the square to √6: (√6)square2 = 6.

Final Answer:
Therefore, the expression (root3 root2)square2 simplifies to 6.

Conclusion:
By following the order of operations and applying the properties of square roots, we were able to simplify the given expression (root3 root2)square2 to 6.

(√3)^2= 3...and (√2)^2= 2....so..
2×3 =6