Question

what is \\(\sqrt{150} + \sqrt{24}\\) expressed in simplest radical form?

1. \\(7\sqrt{6}\\)
2. \\(7\sqrt{12}\\)
3. \\(\sqrt{87}\\)
4. \\(\sqrt{174}\\)

Explanation:

Step1: Simplify $\sqrt{150}$

$\sqrt{150} = \sqrt{25\times6} = \sqrt{25}\times\sqrt{6} = 5\sqrt{6}$

Step2: Simplify $\sqrt{24}$

$\sqrt{24} = \sqrt{4\times6} = \sqrt{4}\times\sqrt{6} = 2\sqrt{6}$

Step3: Add simplified radicals

$5\sqrt{6} + 2\sqrt{6} = (5+2)\sqrt{6} = 7\sqrt{6}$

Answer:

1. $7\sqrt{6}$