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lilavasa [31]
2 years ago
8

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

Mathematics
2 answers:
Delvig [45]2 years ago
8 0

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}

baherus [9]2 years ago
6 0

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}

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