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Square Roots & Cube Roots
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What you will learn from this videoWhat you will learn
- We'll learn how to find the square root of any number.
- We will also learn how to find the cube root of any number.
- And we'll see how this knowledge can help us rescue animals, frame paintings and even make resin art!
- Discussion Questions
Before Video
What is the area of a square with side length 9 centimeters?ANSWER81 square centimeters
125 cubic meters
It means to multiply 6 by itself twice. 6^{2} = 6 × 6 = 36.
It means to multiply 4 by itself 3 times. 4^{3} = 4 × 4 × 4 = 64.
121
After Video
What is a square root?ANSWERThe square root of a number is a number that you multiply by itself to give the original number. For example, 8 is the square root of 64 because 8 × 8 = 64.
The cube root of a number is a number that you multiply by itself three times to give the original number. For example, 4 is the cube root of 64 because 4 × 4 × 4 = 64.
An irrational number is a decimal number that never ends and that can’t be represented with a fraction. The square root of 2 is an irrational number.
Take the square root of 144. The side length is 12 units.
Take the cube root of 1,000. The edge length is 10 units.
- Vocabulary
- Exponent DEFINE
A number that tells you how many times you multiply a number by itself. For example, in 4^{2}, the 2 is the exponent. It tells you to multiply 4 two times.
- Square of a number DEFINE
A number raised to the second power. 4^{2} can be read “four squared.”
- Cube of a number DEFINE
A number raised to the third power. 4^{3} can be read “four cubed.”
- Area DEFINE
A measurement of the space within a 2D shape.
- Volume DEFINE
A measurement of the space within a 3D solid.
- Square Root DEFINE
A number that, when multiplied by itself, gives the original number. For example, the square root of 400 is 20.
- Rational number DEFINE
A number that can be expressed as a fraction. The decimal form either terminates or repeats.
- Irrational number DEFINE
A decimal that never ends and can’t be expressed as a fraction. For example, the square root of 45 is an irrational number.
- Cube root DEFINE
A number that, when multiplied by itself 3 times, gives the original number.
- Exponent DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide