Square and Cube Roots

Simplify √200m⁴n

10m²√2n

What is z squared * z where z is 5?

125

What is 3 cubed?

27

Simplify √60

2√15

What is the square root of 9?

3

What is the cube root of 64?

4

What is the cube root of 125?

5

What is √72 simplified?

6√2

Simplify √108

6√3

What is 9 squared?

81

What is a surd?

An irrational root.

Where are cube roots used?

Cube roots can be used in real life when you want to find the dimension of a cubic figure whose length, width, and height are equal in measurement when the volume is given.

What is the first step of simplifying radicals?

Find the largest perfect square that is a factor of the radicand.

What is the radical symbol.

It holds the Index and the Radicand.

What is the Radicand?

It is the number that is being cube rooted.

What are 1, 4, 9, 16, 25, and 36 all called?

Perfect Squares

What is the symbol for a square root called?

Radical

What is the second step of simplifying radicals?

Rewrite the radical as a product of the square root of the largest perfect square that is a factor, and the other factor.

What is the third step of simplifying radicals?

Simplify

How do you write the Principal Square Root of a Monomial Algebraic Expression in Simplest Form

Simplifying an expression is almost as same as simplifying a square root of a whole number, but instead, you have to take the root of each factor separately.

What is the Index?

The power of the root, cube root = 3, square root = 2, etc.

What is z cubed?

z * z * z