Question

24 true/false. the equation represents the simplified square root for the following non - perfect square. drag your answer into the green answer space. $4\sqrt{32} = 16\sqrt{8}$ true false drag answer here! submit give up previous skip overview save card

Explanation:

Step1: Simplificar \(4\sqrt{32}\)

Factorizar 32: \(32 = 16\times2\), así que \(\sqrt{32}=\sqrt{16\times2}=\sqrt{16}\times\sqrt{2}=4\sqrt{2}\). Luego, \(4\sqrt{32}=4\times4\sqrt{2}=16\sqrt{2}\).

Step2: Simplificar \(16\sqrt{8}\)

Factorizar 8: \(8 = 4\times2\), así que \(\sqrt{8}=\sqrt{4\times2}=\sqrt{4}\times\sqrt{2}=2\sqrt{2}\). Luego, \(16\sqrt{8}=16\times2\sqrt{2}=32\sqrt{2}\).

Step3: Comparar los resultados

\(16\sqrt{2}
eq32\sqrt{2}\), por lo tanto \(4\sqrt{32}
eq16\sqrt{8}\).

Answer:

FALSE