√5•(4√75-√125)
First, simplify inside the parentheses:
4√75 = 4•5•√3 = 20√√125 = √(25•5) = 5√5
Now plug back into the original expression:
√5•(20√3 - 5√5)
Now distribute the √5:
= 20√15 - 5√2= 20√15 - 5•= 20√15 - 25
So, √5•(4√75-√125) simplifies to 20√15 - 25.
√5•(4√75-√125)
First, simplify inside the parentheses:
4√75 = 4•5•√3 = 20√
√125 = √(25•5) = 5√5
Now plug back into the original expression:
√5•(20√3 - 5√5)
Now distribute the √5:
= 20√15 - 5√2
= 20√15 - 5•
= 20√15 - 25
So, √5•(4√75-√125) simplifies to 20√15 - 25.