AS: Day 056 Square and Cube Roots

Steps to approximate square roots

• Locate the closest perfect square root (one smaller, one bigger)

• Decide which one is actually closer to the desired radicand

• Approximate its value if it was on a number line.

Multiple Select

Without using a calculator, put the numbers in order.

$$\sqrt{72}$$ , 9 , 7, 8

• $$7,\ 8,\ \sqrt{72},\ 9$$  

• $$7,\ \sqrt{72},\ 8\ ,\ 9$$  

• $$\sqrt{72},\ 7\ ,\ 8\ ,\ 9$$  

• $$7,\ 8,\ 9,\ \sqrt{72}$$  

Math Response

What is  $$8^3$$ ?

Type answer here

Correct Answer: 8\times8\times8

Deg^°

Rad

Open Ended

What are the differences between a square root and a cube root?

Steps to approximate cube roots

• Locate the closest perfect cube root (one smaller, one bigger)

• Decide which one is actually closer to the desired radicand

• Approximate its value if it was on a number line.

Equations with Square and Cube Roots

Multiple Select

Find the solutions for the equation. Select all that apply

• $$g\ =\ \sqrt{12}$$

• $$g\ =\ -\sqrt{12}$$

• 12

• -12

Open Ended

What is this asking you to do

Solve $$a^2=64$$

Open Ended

What is this asking you to do

Solve $$a^3=125$$

Multiple Select

Find the solution for the equation. Select all that apply

• y = 3

• y = -3

• y = 9

• y = -9

• None of the above