(6+root sign 3)(6- root sign 3)
I am suppose to multiply this problem we are working on multipling radical I can not understand these problems can some walk me through this step for step I would appreciate it.
Use that:
(x-y)(x+y) = x^2 - y^2
(x-y)(x+y)=2x^+xy^-y^
To multiply the expression (6 + √3)(6 - √3), you can use the formula (x - y)(x + y) = x^2 - y^2, where in this case, x = 6 and y = √3.
Here's the step-by-step process to solve the problem:
Step 1: Identify the values of x and y.
x = 6
y = √3
Step 2: Rewrite the expression using the formula (x - y)(x + y) = x^2 - y^2.
(6 + √3)(6 - √3) = (6)^2 - (√3)^2
Step 3: Simplify the square terms.
(6)^2 = 36
(√3)^2 = 3
Step 4: Substitute the simplified square terms into the expression.
(6 + √3)(6 - √3) = 36 - 3
Step 5: Perform the subtraction.
36 - 3 = 33
Therefore, the result of (6 + √3)(6 - √3) is 33.
It's important to note that this process is specifically for multiplying expressions with radicals using a special formula.