Multiply: √(2) ·√(2) .

Name: Problem 141, Chapter 9: Elementary and Intermediate Algebra
Uploaded: 2020-06-09T05:15:45-08:00
Duration: 44 s
Channel: Amy Jiang
Description: Multiply: √(2) ·√(2) .

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Radical Expressions

This concept involves expressions that include roots, such as square roots and cube roots, which denote the inverse operation of raising a number to a power. In the context of the problem, it refers to understanding and manipulating the square root (which is the 2nd root) and the cube root (which is the 3rd root) of a number.

Conversion Between Radical and Exponential Forms

Radical expressions can be rewritten using rational (fractional) exponents. For example, the square root of a number can be written as that number raised to the 1/2 power, and the cube root can be expressed as that number raised to the 1/3 power. This conversion is useful for applying exponent rules in computations.

Exponent Laws

When multiplying expressions that have the same base, you add the exponents. This rule is crucial when multiplying radical expressions that have been converted to exponential form, as it simplifies the multiplication process by transforming it into an addition of fractional exponents.

Transcript

Please give Ace some feedback