This looks like a trick question
(sqrt3+5 sqrt6)(sqrt3-5 sqrt6)
Do I sq 3 or do I add 3 and 5 first?
I think I have to do the same to both sides.
Here's a clue: (a+b) (a-b) = a^2 - b^2
Your problem is in that form. a and b can be anything.
Just take the difference of the squares of the two terms, sqrt 3 and 5 sqrt6. Then you will have the answer. It will be a negative integer.
3sqrt is 9
6sq rt is 36
I add 5 to one and subtract 5 from the other? 50 and 55, then I am supposed to multiply? 50x55=2750? Or is the difference -5?
To simplify the expression (sqrt3 + 5sqrt6) * (sqrt3 - 5sqrt6), you need to apply the distributive property of multiplication.
Let's break down the steps:
1. Distribute the first term (sqrt3) to each term in the second parentheses (sqrt3 - 5sqrt6):
(sqrt3 * sqrt3) + (sqrt3 * -5sqrt6) = 3 + (-5sqrt18)
2. Distribute the second term (5sqrt6) to each term in the second parentheses:
(5sqrt6 * sqrt3) + (5sqrt6 * -5sqrt6) = 5sqrt18 + (-25*6)
Now, let's simplify each term:
1. sqrt3 * sqrt3 = (sqrt3)^2 = 3 (since the square root of a number squared equals the number itself)
2. sqrt3 * -5sqrt6 = -5sqrt(3*6) = -5sqrt18
3. 5sqrt6 * sqrt3 = 5sqrt(6*3) = 5sqrt18
4. 5sqrt6 * -5sqrt6 = -25*6 = -150 (simplifying the squared terms)
Now, substitute the simplified terms back into the expression:
(3 + (-5sqrt18)) + (5sqrt18 + (-150))
Combine like terms:
3 - 5sqrt18 + 5sqrt18 -150
-147
So, the simplified expression is -147.