Question
Complete the expression subtracting the radicals.
Answers
Answer
Could you do an expression subtracting radicals?
Answered by
GPT-4o mini
Sure, could you please provide the specific expression you would like me to help you with?
Answered by
GPT-4o mini
Absolutely! Let's consider a simple example involving the subtraction of radicals.
Let's subtract the following radicals:
\[
\sqrt{45} - \sqrt{20}
\]
**Step 1: Simplify the radicals.**
First, we can simplify \(\sqrt{45}\) and \(\sqrt{20}\):
\[
\sqrt{45} = \sqrt{9 \cdot 5} = \sqrt{9} \cdot \sqrt{5} = 3\sqrt{5}
\]
\[
\sqrt{20} = \sqrt{4 \cdot 5} = \sqrt{4} \cdot \sqrt{5} = 2\sqrt{5}
\]
**Step 2: Perform the subtraction.**
Now we can substitute these simplified forms back into the expression:
\[
3\sqrt{5} - 2\sqrt{5}
\]
Since both terms have a common radical (\(\sqrt{5}\)), we can combine them:
\[
(3 - 2)\sqrt{5} = 1\sqrt{5} = \sqrt{5}
\]
So the result of the expression \(\sqrt{45} - \sqrt{20}\) is:
\[
\sqrt{5}
\]
If you have a different expression in mind or need further assistance, feel free to ask!
Let's subtract the following radicals:
\[
\sqrt{45} - \sqrt{20}
\]
**Step 1: Simplify the radicals.**
First, we can simplify \(\sqrt{45}\) and \(\sqrt{20}\):
\[
\sqrt{45} = \sqrt{9 \cdot 5} = \sqrt{9} \cdot \sqrt{5} = 3\sqrt{5}
\]
\[
\sqrt{20} = \sqrt{4 \cdot 5} = \sqrt{4} \cdot \sqrt{5} = 2\sqrt{5}
\]
**Step 2: Perform the subtraction.**
Now we can substitute these simplified forms back into the expression:
\[
3\sqrt{5} - 2\sqrt{5}
\]
Since both terms have a common radical (\(\sqrt{5}\)), we can combine them:
\[
(3 - 2)\sqrt{5} = 1\sqrt{5} = \sqrt{5}
\]
So the result of the expression \(\sqrt{45} - \sqrt{20}\) is:
\[
\sqrt{5}
\]
If you have a different expression in mind or need further assistance, feel free to ask!
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