Simplify the expression 5√8 – 5√2

To simplify the expression (5sqrt{8} – 5sqrt{2}), first, we can factor out the common coefficient of 5:

[

5(sqrt{8} – sqrt{2}).

]

Next, we simplify (sqrt{8}):

[

sqrt{8} = sqrt{4 times 2} = sqrt{4} cdot sqrt{2} = 2sqrt{2}.

]

Now, substitute back into the expression:

[

5(2sqrt{2} – sqrt{2}).

]

Combine like terms inside the parentheses:

[

2sqrt{2} – sqrt{2} = (2 – 1)sqrt{2} = 1sqrt{2} = sqrt{2}.

]

Now multiply by 5:

[

5sqrt{2}.

]

So, the simplified expression is

[

boxed{5sqrt{2}}.

]

This gives you the final answer, and I encourage you to practice simplifying square roots for better understanding! If you have more questions, feel free to ask or check our extended services page for additional help.