Questions: Homework 9-1 Simplifying and Com Score: 0/34 Answered: 0/34 Question 1 First, some problems about the definition of higher ro In this course we will be entering square roots and hig Practice creating radical expressions by entering the e Enter sqrt(x+9) : Enter sqrt[3]64: 4 Enter sqrt[4]x^3+y^2 : Enter sqrt[5]3/5:

Solution Steps

To solve the given problems, we need to simplify and enter the radical expressions as specified. We will use Python to handle the calculations and formatting of these expressions.

1. For the square root of \(x + 9\), we will use the sqrt function.
2. For the cube root of 64, we will use the ** operator to raise 64 to the power of \(1/3\).
3. For the fourth root of \(x^3 + y^2\), we will use the ** operator to raise the expression to the power of \(1/4\).
4. For the fifth root of \(\frac{3}{5}\), we will use the ** operator to raise the fraction to the power of \(1/5\).

The expression for the square root of \(x + 9\) is given by: \[ \sqrt{x + 9} \]

The cube root of 64 can be calculated as: \[ \sqrt[3]{64} = 3.9999999999999996 \approx 4 \]

The fourth root of the expression \(x^3 + y^2\) is represented as: \[ \sqrt[4]{x^3 + y^2} = (x^3 + y^2)^{0.25} \]

The fifth root of the fraction \(\frac{3}{5}\) is calculated as: \[ \sqrt[5]{\frac{3}{5}} \approx 0.9029 \]

Final Answer