Question

simplify the following expression by removing any perfect square factors from the radical terms and combining like terms if possible.\\(\sqrt{32} - \sqrt{72}\\)

Explanation:

Step1: Factor out perfect squares

$\sqrt{16 \times 2} - \sqrt{36 \times 2}$

Step2: Simplify each radical

$\sqrt{16}\sqrt{2} - \sqrt{36}\sqrt{2} = 4\sqrt{2} - 6\sqrt{2}$

Step3: Combine like radical terms

$(4 - 6)\sqrt{2}$

Answer:

$-2\sqrt{2}$