2 radicals are similar (like terms) if, when in simplified form, the index is the same, and the radicand is the same. The coefficient may be different.
EX: 3(sq root 2) and 5(sq root 2) are like terms, but 3(cube root 2) is not a like term for either.
similar-a similar radicand is to add or subtract similar radicals we simply add and subtract there coefficients and Anex to the sum of their common radical part.
Dissimilar radicals refer to expressions that contain different radical terms or roots, often involving different numbers or variables under the radical sign. For example, √2 and √3 are dissimilar radicals because they involve different numbers. These radicals cannot be combined or simplified together in algebraic expressions, unlike similar radicals that share the same root. Understanding dissimilar radicals is important in operations such as addition, subtraction, or simplifying expressions involving radicals.
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When adding or subtracting radicals, you can only combine them if they have the same index and the same radicand (the number inside the radical). For example, √2 + √2 equals 2√2, but √2 + √3 cannot be combined and remains as is. If the radicals are not like terms, you simply write them next to each other. Additionally, you can simplify radicals before performing the addition or subtraction if possible.
electronegative radicals are anions or acid radicals.
similar radicals are radicals with desame index and radicand ex: the square root of 5 squared
similar-a similar radicand is to add or subtract similar radicals we simply add and subtract there coefficients and Anex to the sum of their common radical part.
See related link.
Radicals are considered like radicals if they have the same index and the same radicand (the number or expression under the radical sign). For example, ( \sqrt{3} ) and ( \sqrt{12} ) are not like radicals, but ( \sqrt{5} ) and ( 2\sqrt{5} ) are like radicals because they both involve the same radicand, ( 5 ). You can simplify radicals to check if their radicands match, which helps in identifying like radicals.
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electronegative radicals are anions or acid radicals.
Acidic radicals are groups of atoms that can be released as an ion during a chemical reaction, resulting in the formation of an acid. These radicals typically contain hydrogen and can donate a proton to another molecule. Examples include sulfate (SO4^2-) and nitrate (NO3^-) ions.
When you multiply 6√2 by √2, you can simplify the expression by multiplying the numbers outside the radicals and multiplying the numbers inside the radicals. This results in 6√2 * √2 = 6 * 2 = 12. Therefore, the answer is 12.
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he process of adding and subtracting radicals is similar to that of simplifying expressions with variables because they both involve like terms. For example: if you have 2 square root of 2 + 2 square root of 4, you would first simplify the the square root of 4 to get 2. Next, you would add the numbers outside of the square roots to get 4. Finally, you combine the square roots, but leave the final square root to 2 to get the final answer of 4 square root of 2. An example for simplifying variables is: x^2 + x^8. For this, you would add 2 and 8 to get 10. Then, you would combine the two variables to get x. Finally, the final answer would be x10.