Which of the following represents 3 x to the 5 sevenths power in radical form?
Solution:
The radical of a number is the same as the root of a number, and we will learn more about the radical formula as we go along.
The root can be a square root, cube root, or in general, nth root.
Thus, any number or expression that uses a root is known as a radical.
An equation that is inside a radical is known as a radical equation.
An expression that lies inside a square root is known as a radical expression.
An inequation that is inside a radical is known as radical inequality
It is given that
3 x to the 5 sevenths power
We can write it as 3x5/7
Using the formula
\(\\x^{a/b}=\sqrt[b]{x^{a}} \\ \\Here \\ \\x^{5/7}=\sqrt[7]{x^{5}} \\ \\So\: we\: get \\ \\3x^{5/7}=3\sqrt[7]{x^{5}}\)
Therefore, \(3\sqrt[7]{x^{5}}\) represents 3 x to the 5 sevenths power in radical form.
Which of the following represents 3 x to the 5 sevenths power in radical form?
Summary:
\(3\sqrt[7]{x^{5}}\) represents 3 x to the 5 sevenths power in radical form.
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