Definition of Radical Expression
A radical expression is an expression containing a square root.
Examples of Radical Expression
are examples of radical expression.
More about Radical Expression
Radical: Thesymbol that is used to denote square root or nth roots.
Radicand: Radicand is a number or expression inside the radical symbol.
For example, 5 is the radicand in.
Radical equation: An equation containing radical expressions with variables in the radicands.
Radical inequality: An inequality containing a radical expression with the variable in the radicand.
Solved Example on Radical Expression
Evaluate the radical expression when a = 2 and b = 4.
Choices:
A. 9
B. 8
C. 7
D. 6
Correct Answer: D
Solution:
Step 1: [Substitute the values of a and b in the given radical expression.]
Step 2: [Find the positive square root.]
Step 3: [Multiply.]
Step 4: [Add.]
Step 5: = 6 [Simplify.]
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Another word for square roots is "radicals" which are the opposite operation of exponentiation; You undo a power with a radical, and a radical can undoes a power. For example: 4 is 22 so the square root or radical of 4 is 2.
No. Radical(1.21) = 1.1, for example, is rational.
-The radical is the symbol that represents a square root. -The radicand is the number underneath the radical symbol. -The coefficient is the number out in front of the radical. (We assume that the coefficient multiplies the radical, the same way it would multiply with a variable.)
If the number inside the radical is a perfect square or a ratio of perfect squares.
yes
You cannot factor negative radical numbers because the square of a number must always be positive. A negative number multiplied by a negative number produces a positive number. So, it is impossible to have a negative radical.