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There is no difference between the values of them. However radicals are the notation used because they allow for higher roots.

The square root of 4 is 2

The cube root of 81 is 3

But there is no 'nice' name for say, the 34th root, or the .7th root. This is where the radical sign comes in. You can place whatever root you are taking above the 'V' part of the radical sign, and that makes equations easier to look at and work with.

Q: What is the difference between the word Square Root and Radical Sign?

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A polynomial is an expression of various exponentials of a variable wich may or may nor have coefficients and constants. The coefficients may have a radical, square root, cube root etc, but not the variable. A radical expression is any expression involving square roots, cube roots, etc. These may have the variable inside the radical but do not have to have them. sq root (5) is a radical expression, so is sq root (x) 3x2 + 2x - 9 is a polynomial, so is x + sq root (5)

What square root property is essential to solve any radical equation involving square root?

The square root of 28 in simplified radical form is...2 * Square root of 7

Sqrt[5*radical(68)] = -6.4211 and +6.4211.

A "radical" equation is an equation in which at least one variable expression is stuck inside a radical, usually a square root. The "radical" in "radical equations" can be any root, whether a square root, a cube root, or some other root. Most of the examples in what follows use square roots as the radical, but (warning!) you should not be surprised to see an occasional cube root or fourth root in your homework or on a test.

Related questions

They are the same.

There is no "radical square root". Radical means the same as root, it may specifically refer to the square root.

square root of 85 is 9.2195444 but the in the simplest radical is square root of 5 times square root of 17

The distance between two points is Square root of [ (difference in their 'x' coordinates)2 + (difference in their 'y' coordinates)2 ]

The square root symbol is the radical sign, √.

The square root of 125 in radical form is 5 x (square root of 5).

A polynomial is an expression of various exponentials of a variable wich may or may nor have coefficients and constants. The coefficients may have a radical, square root, cube root etc, but not the variable. A radical expression is any expression involving square roots, cube roots, etc. These may have the variable inside the radical but do not have to have them. sq root (5) is a radical expression, so is sq root (x) 3x2 + 2x - 9 is a polynomial, so is x + sq root (5)

What square root property is essential to solve any radical equation involving square root?

The square root of 28 in simplified radical form is...2 * Square root of 7

If the radical is the square root of a quantity, then yes.

Square root of 165

Sqrt[5*radical(68)] = -6.4211 and +6.4211.