question\nexpress in simplest radical form.\n$sqrt{160}$

question\nexpress in simplest radical form.\n$sqrt{160}$

question\nexpress in simplest radical form.\n$sqrt{160}$

Answer

Answer:

$4\sqrt{10}$

Explanation:

Step1: Prime - factorize 160

$160 = 16\times10$

Step2: Apply square - root property

$\sqrt{160}=\sqrt{16\times10}$

Step3: Separate the square - root

$\sqrt{16\times10}=\sqrt{16}\times\sqrt{10}$

Step4: Simplify $\sqrt{16}$

$\sqrt{16} = 4$, so $\sqrt{16}\times\sqrt{10}=4\sqrt{10}$