Question

Match each expression with its radical form:

3√(8x^3) = ___
2√(y^2) = ___
4√(16a^6) = ___
√(z^2) = ___


a. 2√(y^2)
b. √(z^2)
c. 3√(8x^3)
d. 4√(16a^6)

Answer 1

The task involves matching expressions with their identical radical forms. The expressions provided are already in radical form and correspond directly to the options provided, resulting in a straightforward matching activity.

Step-by-step explanation:

Matching each expression with its radical form involves understanding the relationship between exponents and roots. The radical form of an expression is a way of representing the nth root of a number, often written with a radical symbol. For instance, √(x²) is the radical form of x when squared.

Matches:

• 3√(8x³) matches with c. 3√(8x³)
• 2√(y²) matches with a. 2√(y²)
• 4√(16a¶) matches with d. 4√(16a¶)
• √(z²) matches with b. √(z²)

In particular, we can tell that the expressions on the left are already in radical form and simply match up with their identical forms on the right, thereby making this question relatively straightforward.