Rationalize the denominator of fourth root of a rational monomial

The video tutorial explains how to rewrite expressions to eliminate roots by raising numbers inside radicals to the fourth power. It covers the multiplication process needed to achieve this, including specific examples of multiplying numbers and variables to reach the desired power. The tutorial also discusses the rules of multiplying within square roots and demonstrates the final calculation, resulting in a simplified expression.

What is the primary goal when rewriting expressions involving roots?

• To change the base to a different number

• To increase the power of the base

• To eliminate the roots by raising the base to a specific power

• To simplify the expression by reducing the base

How do you determine what to multiply a base number by to achieve a specific power?

• By adding the exponents

• By multiplying the base by itself until the desired power is reached

• By dividing the base by the desired power

• By subtracting the exponents

Why is it important to multiply within the square root?

• To make the calculation easier

• To change the base number

• To ensure the result is a whole number

• To maintain the integrity of the expression

What happens to the expression after multiplying and simplifying?

• The components cancel out, simplifying the expression

• The expression becomes more complex

• The roots remain unchanged

• The base numbers increase

What is the final simplified form of the expression in the tutorial?

• 8X to the 7th y / 3

• 8X to the 6th y / 3

• 8X to the 7th y / 2

• 8X to the 6th y / 2