Multiply , then simplify
5 sqrt:75 - 7 sqrt:3
5sqrt75 - 7sqrt3, =
5sqrt(25*3) - 7sqrt3 =
5*5sqrt3 - 7sqrt3 =
25sqrt3 - 7sqrt3 =
18sqrt3.
To multiply and simplify the expression 5√75 - 7√3, follow these steps:
Step 1: Identify the perfect square factors of each radical term.
√75 can be simplified as √(25 * 3). In this case, 25 is a perfect square factor.
√3 cannot be simplified further as 3 does not have any perfect square factors.
Step 2: Simplify the radical terms using the perfect square factors.
√(25 * 3) simplifies to 5√3.
Step 3: Perform the multiplication.
5√3 - 7√3 = (5 - 7)√3 = -2√3
So, the simplified expression is -2√3.