Perfect Squares Revisited

5.2.1 Perfect Squares Revisited

5.2.1 • Perfect Squares Revisited

What is the value of $4 \times 4$ ?

Compare your answer:

What is the value of $4^{2}$ ?

Compare your answer:

Using what you know about roots, what is the value of $\sqrt{16}$ ?

Compare your answer:

Talk to a partner. How can you prove $\sqrt[2]{4^{2}} = 4$ ?

Your answers may vary, but here is an example:

Since $4^{2} = 4 \cdot 4 = 16$ and $\sqrt{16} = 4$ , $\sqrt[2]{4^{2}} = 4$ .

Notice that the root and exponents are the same and simplify to leave the integer only.

Talk to a partner. What do you think the answer to $\sqrt[5]{4^{5}}$ would be?

Your answers may vary, but here is an example:

$\sqrt[5]{4^{5}} = 4$