Question

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question
express in simplest radical form.
$25x^{\frac{1}{2}}$

Explanation:

Step1: Recall exponent - radical relation

The formula for converting a fractional exponent to a radical is \(a^{\frac{m}{n}}=\sqrt[n]{a^{m}}\). For the term \(x^{\frac{1}{2}}\), using the formula with \(m = 1\) and \(n=2\), we have \(x^{\frac{1}{2}}=\sqrt{x}\).

Step2: Simplify the entire expression

We have the expression \(25x^{\frac{1}{2}}\). Substituting \(x^{\frac{1}{2}}=\sqrt{x}\) into the expression, we get \(25\times\sqrt{x}=25\sqrt{x}\).

Answer:

\(25\sqrt{x}\)