Simplify the expression 5√8 – 5√2.
√6
These expressions can not be added.
I do not know the answer yet.
√30
5√2
Simplify the expression 5√8 – 5√2
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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.