Question

question
express $35^{\frac{1}{2}}$ in simplest radical form.
answer attempt 1 out of 2

Explanation:

Step1: Recall the exponent rule

The exponent rule states that \(a^{\frac{1}{n}}=\sqrt[n]{a}\). For \(35^{\frac{1}{2}}\), here \(a = 35\) and \(n=2\).

Step2: Apply the rule

Applying the rule \(a^{\frac{1}{n}}=\sqrt[n]{a}\) to \(35^{\frac{1}{2}}\), we get \(\sqrt{35}\). Since 35 factors into \(5\times7\) and neither 5 nor 7 are perfect squares, \(\sqrt{35}\) is in simplest radical form.

Answer:

\(\sqrt{35}\)