Simplifying Square Roots and Exponents

The video tutorial explains how to simplify expressions with negative square roots, focusing on examples like negative square root of 16, 81m², and 169z². It emphasizes the importance of simplifying the square root first and then applying the negative sign. The tutorial uses properties like the commutative property of multiplication to rearrange terms and simplify expressions. Each example is broken down into detailed steps to ensure understanding.

What is the result of simplifying the negative square root of 16?

• 4

• -16

• -4

• 16

What is the square root of 16?

• 5

• 4

• 3

• 2

When simplifying the negative square root of 81m squared, what is the first step?

• Divide 81 by m

• Add 81 and m squared

• Find a number that squares to 81m squared

• Multiply 81 by m

What is the simplified form of the negative square root of 81m squared?

• -9m

• 9m

• 81m

• -81m

Which property is used to rearrange the terms in the expression for simplification?

• Distributive Property

• Identity Property

• Associative Property

• Commutative Property

What is the square of 9m?

• 81m

• 9m squared

• 81m squared

• 9m

What is the first step in simplifying the negative square root of 169z squared?

• Add 169 and z squared

• Find a number that squares to 169z squared

• Divide 169 by z

• Multiply 169 by z

What is the square root of 169?

• 14

• 13

• 12

• 11

What is the simplified form of the negative square root of 169z squared?

• 13z

• -13z

• -169z

• 169z

What is the square of 13z?

• 13z

• 169z

• 169z squared

• 13z squared