Lesson 04: Square Roots on the Number Line | Unit 8: Pythagorean Theorem and Irrational Numbers

Multiple Choice

What is the exact length of line segment AB?

• Length of AB is 10 units.
• Length of AB is 7 units.
• Length of AB is 3 units.
• Length of AB is 5 units.

Open Ended

Estimate the length of each line segment to the nearest tenth of a unit. Explain your reasoning.

Draw

Plot each number on the $$x$$ -axis: $$\sqrt{16},\text{ } \sqrt{35},\text{ } \sqrt{66}$$ . Consider using the grid to help.

Multiple Choice

Use the fact that $$\sqrt{7}$$ is a solution to the equation $$x^2 = 7$$ to find a decimal approximation of $$\sqrt{7}$$ , whose square is between 6.9 and 7.1.

• 2.50
• 2.65
• 2.80
• 2.90

Open Ended

What is the side length of this square? Explain your reasoning.