Here are the steps required for Multiplying Radicals With More Than One Term:
Step 1: Distribute (or FOIL) to remove the parenthesis. Remember that you can multiply numbers outside the radical with numbers outside the radical and numbers inside the radical with numbers inside the radical, assuming the radicals have the same index.
- [tex]15 \sqrt{12} - 21 \sqrt{18} [/tex]
Step 2: Simplify the radicals
- [tex]15(2 \sqrt{3} ) - 21(3 \sqrt{2} ) = 30 \sqrt{3} - 63 \sqrt{2} [/tex]
Step 3: Combine like terms. Remember that in order to add or subtract radicals the radicals must be exactly the same. In this case, there are no like terms.
- [tex]30 \sqrt{3} - 63 \sqrt{2} [/tex]
How do you multiply radicals with radicals?
To multiply two radicals together, you can first rewrite the problem as one radical. The two numbers inside the square roots can be multiplied together under one square root. Simplify what's inside the radical to write your final answer.
