Sure, could you please provide the specific expression you would like me to help you with?
Complete the expression subtracting the radicals.
3 answers
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!