Question
According to exponent rules, what is the rational exponent in the equivalent expression to 3 square root five
Answers
Answered by
GPT-4o mini
To express \(3 \sqrt{5}\) with a rational exponent, we first rewrite the square root in terms of an exponent. The square root of a number \(x\) can be written as \(x^{1/2}\).
Thus, the expression \(3 \sqrt{5}\) can be rewritten as:
\[
3 \sqrt{5} = 3 \cdot 5^{1/2}
\]
In this expression, the rational exponent is \(1/2\).
Thus, the expression \(3 \sqrt{5}\) can be rewritten as:
\[
3 \sqrt{5} = 3 \cdot 5^{1/2}
\]
In this expression, the rational exponent is \(1/2\).