A Radical is an expression that involves a root, usually a square root or cube root.
Components of Radical
The three different components of radical are;
- Radicand
- Degree
- Symbol
There are three major components of a radical namely:
Degree
It indicates how many times a radicand is multiplied by itself. If the number is missing on the root symbol, it is assumed as 2(square root).
Radical symbol
The symbol √ means “root of”. The length of the horizontal bar actually matters.
Note – The horizontal bar in the symbol specifies the extent of the expression has to be operated.
In the above expression, the bar is stretched along the whole expression “x – y”. This reveals that you subtract x from y and then find the square root of it.
If it has only covered the ‘x’ like this:
It shows that you need to find the square root of x and then subtract y from the result.
Radicand
This is the one of which you are finding the root. In the expression, √(3x), 3x is the radicand.
A radical equation is the one that has at least one variable expression within a radical, most often the square root.
The radical can be any root, maybe square root, cube root. Generally, you solve equations by isolating the variable by undoing what has been done to it.
For example , given x + 2 = 5. You can solve it by undoing the addition of 2. That is, by applying the opposite.
x + 2 = 5
x = 5 – 2
x = 3
When you have a variable in a square root, you undo the root by just performing the opposite. For instance, given x = -4 within the root, you can square on both sides and get the resultant as:
(√x)2 = (4)2
x = 16
Multiplying Radicals
When it is required to multiply radicals, you need to multiply the numbers outside(o) the radical and then multiply the value inside(i) the radicals.
A radical equation is the one that has at least one variable expression within a radical, most often the square root.
The radical can be any root, maybe a square root, cube root. Generally, you solve equations by isolating the variable by undoing what has been done to it.
To know more about Radicals involving operations like simplifying radicals and radicals algebra, you can us at BYJU’S.
Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!
Select the correct answer and click on the “Finish” button
Check your score and answers at the end of the quiz
Visit BYJU’S for all Maths related queries and study materials
Your result is as below
| MATHS Related Links | |
| Decimal Questions | Independent Probability |
| Trigonometry For Class 11 | Compound Interest Equation |
| Unitary Method | Maths Real Numbers |
| Implicit Function | Like Fraction Examples |
| Important Questions For Class 9 Maths | Fundamental Theorem Of Calculus |
Comments