Question

evaluate the expression using a calculator. round your answer to two decimal places when appropriate.
\sqrt7{1695} \approx \square

Explanation:

Step1: Understand the expression

We need to find the 7th root of 1695, which is written as $\sqrt[7]{1695}$. This can also be expressed as $1695^{\frac{1}{7}}$ using the property of exponents $\sqrt[n]{a}=a^{\frac{1}{n}}$.

Step2: Use a calculator

Using a calculator, we input $1695^{\frac{1}{7}}$ (or calculate the 7th root of 1695). When we do this, we get approximately 3.72 (rounded to two decimal places).

Answer:

3.72