Converting Between Rational and Radical Forms

The video tutorial explains how to convert expressions between rational and radical forms. It begins by defining rational expressions as fractional and then demonstrates converting rational expressions to radical form by identifying the root and exponent. The tutorial also covers simplifying radical expressions. Finally, it explains converting radical expressions back to rational form, emphasizing the role of the root as the denominator in fractional exponents.

What does the term 'rational' mean in the context of expressions?

• Fractional

• Whole numbers

• Imaginary numbers

• Negative numbers

Tags

CCSS.HSN.RN.A.2

How would you express p^(2/3) in radical form?

• Fourth root of p squared

• Square root of p cubed

• Cube root of p squared

• Square root of p

Tags

CCSS.HSN.RN.A.2

In the expression m^(2/5), what does the denominator represent?

• Coefficient

• Base

• Root

• Exponent

What is the radical form of 17^(1/6)?

• Sixth power of 17

• Seventeenth root of 6

• Seventeenth power of 6

• Sixth root of 17

How can 20^(1/2) be simplified in radical form?

• Cube root of 20

• Fourth root of 20

• Square root of 20

• Fifth root of 20

What is the rational form of the cube root of 22 raised to the fourth power?

• 22^(1/3)

• 22^(3/4)

• 22^(4/3)

• 22^(4/5)

Tags

CCSS.HSN.RN.A.2

If a number is under a square root, what is its equivalent rational exponent?

• 2/3

• 1/2

• 2/5

• 1/3

How would you express y^(3/2) in radical form?

• Fourth root of y cubed

• Fifth root of y squared

• Square root of y cubed

• Cube root of y squared

Tags

CCSS.HSN.RN.A.2

What is the rational exponent form of the fourth root of z raised to the fifth power?

• z^(5/3)

• z^(5/4)

• z^(4/5)

• z^(1/4)

Tags

CCSS.HSN.RN.A.2

What is the process of converting from a radical to a rational expression called?

• Exponentiation

• Rationalization

• Fractionalization

• Radicalization

Tags

CCSS.HSN.RN.A.2