Question

Can someone help! I know the answer I just need step by step!

Answer 1

Answer:

4$\sqrt{2}$

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

$\sqrt{32}$

= $\sqrt{16(2)}$

= $\sqrt{16}$ × $\sqrt{2}$

= 4$\sqrt{2}$

Answer 2

Answer:

$4 \sqrt{2}$

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

$\implies \sqrt{32}=\sqrt{16 \cdot 2$

Apply exponent rule $\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}$

$\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}$

Rewrite 16 as 4²:

$\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}$

Apply exponent rule $\sqrt{a^2}=a$

$\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}$